Log in

Relevant bibliographies by topics / Three-point boundary value problems / Dissertations / Theses

To see the other types of publications on this topic, follow the link: Three-point boundary value problems.

Dissertations / Theses on the topic 'Three-point boundary value problems'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 dissertations / theses for your research on the topic 'Three-point boundary value problems.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse dissertations / theses on a wide variety of disciplines and organise your bibliography correctly.

1

Windisch, G. "Exact discretizations of two-point boundary value problems." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800804.

Full text

Abstract:

In the paper we construct exact three-point discretizations of linear and nonlinear two-point boundary value problems with boundary conditions of the first kind. The finite element approach uses basis functions defined by the coefficients of the differential equations. All the discretized boundary value problems are of inverse isotone type and so are its exact discretizations which involve tridiagonal M-matrices in the linear case and M-functions in the nonlinear case.

APA, Harvard, Vancouver, ISO, and other styles

2

Kunkel, Curtis J. Henderson Johnny. "Positive solutions of singular boundary value problems." Waco, Tex. : Baylor University, 2007. http://hdl.handle.net/2104/5022.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Eidenschink, Michael. "A comparison of numerical methods for the solution of two-point boundary value problems." Thesis, Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/29224.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Risser, Hilary Smith. "Computational methods for singularly perturbed two point boundary value problems." Ann Arbor, Mich. : ProQuest, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3196540.

Full text

Abstract:

Thesis (Ph. D. in Computational and Applied Mathematics)--Southern Methodist University.<br>Title from PDF title page (viewed July 13, 2007). Source: Dissertation Abstracts International, Volume: 66-11, Section: B, page: 6015. Adviser: Ian Gladwell. Includes bibliographical references.

APA, Harvard, Vancouver, ISO, and other styles

5

Chan, Kwok Cheung. "Shooting method for singularly perturbed two-point boundary value problems." HKBU Institutional Repository, 1998. http://repository.hkbu.edu.hk/etd_ra/274.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Jacobs, Simon. "Implementation methods for singularly perturbed two-point boundary value problems." Thesis, University of British Columbia, 1986. http://hdl.handle.net/2429/25898.

Full text

Abstract:

In this thesis we consider the numerical solution of singularly perturbed two-point boundary value problems in ordinary differential equations. We examine implementation methods for general purpose solvers of first order linear systems. The basic difference scheme is collocation at Gauss points, with a new symmetric Runge-Kutta implementation. Adaptive mesh selection is based on localized error estimates at the collocation points. These methods are implemented as modifications to the successful collocation code, COLSYS (Ascher, Christiansen & Russell), which was designed for mildly stiff problems only. Efficient high order approximations to extremely stiff problems are obtained, and comparisons to COLSYS show that the modifications work much better as the singular perturbation parameter gets small (i.e. the problem gets stiff), for both boundary layer and turning point problems.<br>Science, Faculty of<br>Computer Science, Department of<br>Graduate

APA, Harvard, Vancouver, ISO, and other styles

7

Ehrke, John E. Henderson Johnny. "A functional approach to positive solutions of boundary value problems." Waco, Tex. : Baylor University, 2007. http://hdl.handle.net/2104/5026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Negron, Luis G. "Initial-value technique for singularly perturbed two point boundary value problems via cubic spline." Master's thesis, University of Central Florida, 2010. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4597.

Full text

Abstract:

A recent method for solving singular perturbation problems is examined. It is designed for the applied mathematician or engineer who needs a convenient, useful tool that requires little preparation and can be readily implemented using little more than an industry-standard software package for spreadsheets. In this paper, we shall examine singularly perturbed two point boundary value problems with the boundary layer at one end point. An initial-value technique is used for its solution by replacing the problem with an asymptotically equivalent first order problem, which is, in turn, solved as an initial value problem by using cubic splines. Numerical examples are provided to show that the method presented provides a fine approximation of the exact solution. The first chapter provides some background material to the cubic spline and boundary value problems. The works of several authors and a comparison of different solution methods are also discussed. Finally, some background into the specific singularly perturbed boundary value problems is introduced. The second chapter contains calculations and derivations necessary for the cubic spline and the initial value technique which are used in the solutions to the boundary value problems. The third chapter contains some worked numerical examples and the numerical data obtained along with most of the tables and figures that describe the solutions. The thesis concludes with some reflections on the results obtained and some discussion of the error bounds on the calculated approximations to the exact solutions for the numeric examples discussed.<br>ID: 029051011; System requirements: World Wide Web browser and PDF reader.; Mode of access: World Wide Web.; Thesis (M.S.)--University of Central Florida, 2010.; Includes bibliographical references (p. 48-50).<br>M.S.<br>Masters<br>Department of Mathematics<br>Sciences

APA, Harvard, Vancouver, ISO, and other styles

9

Kalimeris, Konstantinos. "Initial and boundary value problems in two and three dimensions." Thesis, University of Cambridge, 2010. https://www.repository.cam.ac.uk/handle/1810/225180.

Full text

Abstract:

This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an equilateral triangle; (c) computes the eigenvalues and eigenfunctions of the Laplace operator in the interior of an equilateral triangle for a variety of boundary conditions; (d) discusses the solution of several BVPs for the non-linear Schrödinger equation on the half line. In 1967 the Inverse Scattering Transform method was introduced; this method can be used for the solution of the initial value problem of certain integrable equations including the celebrated Korteweg-de Vries and nonlinear Schrödinger equations. The extension of this method from initial value problems to BVPs was achieved by Fokas in 1997, when a unified method for solving BVPs for both integrable nonlinear PDEs, as well as linear PDEs was introduced. This thesis applies "the Fokas method" to obtain the results mentioned earlier. For linear PDEs, the new method yields a novel integral representation of the solution in the spectral (transform) space; this representation is not yet effective because it contains certain unknown boundary values. However, the new method also yields a relation, known as "the global relation", which couples the unknown boundary values and the given boundary conditions. By manipulating the global relation and the integral representation, it is possible to eliminate the unknown boundary values and hence to obtain an effective solution involving only the given boundary conditions. This approach is used to solve several BVPs for elliptic equations in two dimensions, as well as the heat equation in the interior of an equilateral triangle. The implementation of this approach: (a) provides an alternative way for obtaining classical solutions; (b) for problems that can be solved by classical methods, it yields novel alternative integral representations which have both analytical and computational advantages over the classical solutions; (c) yields solutions of BVPs that apparently cannot be solved by classical methods. In addition, a novel analysis of the global relation for the Helmholtz equation provides a method for computing the eigenvalues and the eigenfunctions of the Laplace operator in the interior of an equilateral triangle for a variety of boundary conditions. Finally, for the nonlinear Schrödinger on the half line, although the global relation is in general rather complicated, it is still possible to obtain explicit results for certain boundary conditions, known as "linearizable boundary conditions". Several such explicit results are obtained and their significance regarding the asymptotic behavior of the solution is discussed.

APA, Harvard, Vancouver, ISO, and other styles

10

Sumarti, Novriana. "Numerical methods for the solution of two-point boundary value problems." Thesis, Imperial College London, 2006. http://hdl.handle.net/10044/1/1253.

Full text

Abstract:

The numerical approximation of solutions of ordinary differential equations played an important role in Numerical Analysis and still continues to be an active field of research. This is mainly due to the pressure of needs to model mathematically real world phenomena. In this thesis we are mainly concerned with the numerical solution of the first-order system of nonlinear two-point boundary value problems dy dx = f (x, y), a≤ x ≤ b, g(y(a), y(b)) = 0, where y ∈ Rn, f : R × Rn → Rn, and g : Rn × Rn → Rn. We will focus on the problem of solving singular perturbation problems since this has for many years been a source of difficulty to applied mathematicians and numerical analysts alike. We consider first deferred correction schemes based on Mono-Implicit Runge- Kutta (MIRK) and Lobatto formulae. As is to be expected, the scheme based on Lobatto formulae, which are implicit, is more stable than the scheme based on MIRK formulae which are explicit. Another deferred correction scheme, which uses the idea of the superconvergent deferred correction schemes, is also derived, and is shown to be highly stable compared to MIRK deferred correction schemes. To provide the continuous extension of the discrete solution, we construct high order interpolants based on an approach of using the already computed discrete solutions obtained on the final mesh. We will consider the construction of both explicit and implicit interpolants. An interpolation using a quasi-uniform grid is also introduced. This grid is naturally obtained in the mesh doubling which is a part of Richardson extrapolation. The estimation of conditioning numbers is discussed and used to develop mesh selection algorithms which will be appropriate for solving stiff linear and nonlinear boundary value problems. The algorithms are implemented in codes using deferred correction schemes based on MIRK and Lobatto formulae and the performance of codes which take account of the conditioning is compared with the performance of codes which use accuracy alone. Most of problems discussed in this thesis are two-point boundary value problems with separated boundary conditions. To complete our discussion, we explain numerical methods for solving two-point boundary value problems with nonseparated conditions, problems which contain parameters and those where the boundary conditions are given as integral constraints. We implement QR decomposition based on Householder transformations in the numerical experiments and discuss the results compared with Gaussian elimination.

APA, Harvard, Vancouver, ISO, and other styles

11

Zhu, Ying. "Quartic-spline collocation methods for fourth-order two-point boundary value problems." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/MQ58780.pdf.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Carrasco, Hugo Alexandre Sacristão. "Higher order boundary value problems on unbounded intervals." Doctoral thesis, Universidade de Évora, 2017. http://hdl.handle.net/10174/21093.

Full text

Abstract:

The relative scarcity of results that guarantee the existence of solutions for BVP on unbounded domains, contrasts with the high applicability on real problems of differential equations defined on the half-line or on the whole real line. It is this gap the main reason that led to this work. The differential equations studied vary from second order to higher orders and they can be discontinuous on time. Different types of boundary conditions will be discussed herein, for example, Sturm- Liouville, homoclinic, Lidstone and functional conditions. The non-compactness of the time interval and the possibility of study unbounded functions will require the redefinition of the admissible Banach spaces. In fact the space considered and the functional framework assumed define the set of admissible solutions for each problem under a main goal: the functions must remain bounded for the space and the norm in consideration. This is achieved by defining some weight functions (polynomial or exponential) in the space or assuming some asymptotic behavior. In addition to the existence, solutions will be localized in a strip. The lower and upper solutions method will play an important role, and combined with other tools like the one-sided Nagumo growth conditions, Green’s functions or Schauder’s fixed point theorem, provide the existence and location results for differential equations with various boundary conditions. Different applications to real phenomena will be presented, most of them translated into classical equations as Duffing, Bernoulli-Eulerv. Karman, Fisher-Kolmogorov, Swift-Hohenberg, Emden-Fowler or Falkner-Skan-type equations. All these applications have a common denominator: they are defined in unbounded intervals and the existing results in the literature are scarce or proven only numerically in discrete problems; RESUMO: Problemas de valor na fronteira de ordem superior em intervalos não limitados A relativa escassez de resultados que garantam a existência de soluções para problemas de valor na fronteira, em domínios ilimitados, contrasta com a alta aplicabilidade em problemas reais de equações diferenciais definidas na semi reta ou em toda a reta real. É esta lacuna o principal motivo que conduziu a este trabalho. As equações diferenciais estudadas variam da segunda ordem a ordens superiores e podem ser descontínuas no tempo. As condições de fronteira aqui analisadas são de diferentes tipos, nomeadamente, Sturm - Liouville, homoclínicas, Lidstone e condições funcionais. A não compacidade do intervalo de tempo e a possibilidade de estudar funções ilimitadas, exigirá a redefinição dos espaços de Banach admissíveis. Na verdade, o espaço considerado e o quadro funcional assumido define o conjunto de soluções admissíveis para cada problema sob um objetivo principal: as funções devem permanecer limitadas para o espaço e norma considerados. Isto é conseguido através da definição de algumas "funções de peso" (polinomiais ou exponenciais) no espaço considerado ou assumindo um comportamento assintótico. Além da existência, as soluções serão localizadas numa faixa. O método da sub e sobre-soluções irá desempenhar aqui um papel importante e, combinado com outras ferramentas como a condição unilateral de Nagumo, as funções de Green ou o teorema de ponto fixo de Schauder, fornecem a existência e localização de soluções para equações diferenciais com diversas condições de fronteira. Apresentam-se também diferentes aplicações a fenómenos reais, a maioria deles traduzidos para equações clássicas como as equações de Duffing, Bernoulli-Euler-v.Karman, Fisher-Kolmogorov, Swift - Hohenberg, Emden-Fowler ou ainda Falkner-Skan. Todas estas aplicações têm um denominador comum: são definidas em intervalos ilimitados e os resultados existentes na literatura são raros ou estão provados apenas numericamente em problemas discretos.

APA, Harvard, Vancouver, ISO, and other styles

13

Haught, Damon. "On the Existence of Solutions to Discrete, Two Point, Non-linear Boundary Value Problems." Youngstown State University / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1299522079.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Hopkins, Britney Henderson Johnny. "Multiplicity of positive solutions of even-order nonhomogeneous boundary value problems." Waco, Tex. : Baylor University, 2009. http://hdl.handle.net/2104/5323.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Silva, Heloisa Helena Marino. "Iterated deferred correction schemes for the numerical solution of two-point boundary value problems." Thesis, Imperial College London, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.275845.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Bashir-Ali, Zaineb. "Numerical solution of parameter dependent two-point boundary value problems using iterated deferred correction." Thesis, Imperial College London, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.298461.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Windisch, G. "Two-point boundary value problems with piecewise constant coefficients: weak solution and exact discretization." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801123.

Full text

Abstract:

For two-point boundary value problems in weak formulation with piecewise constant coefficients and piecewise continuous right-hand side functions we derive a representation of its weak solution by local Green's functions. Then we use it to generate exact three-point discretizations by Galerkin's method on essentially arbitrary grids. The coarsest possible grid is the set of points at which the piecewise constant coefficients and the right- hand side functions are discontinuous. This grid can be refined to resolve any solution properties like boundary and interior layers much more correctly. The proper basis functions for the Galerkin method are entirely defined by the local Green's functions. The exact discretizations are of completely exponentially fitted type and stable. The system matrices of the resulting tridiagonal systems of linear equations are in any case irreducible M-matrices with a uniformly bounded norm of its inverse.

APA, Harvard, Vancouver, ISO, and other styles

18

Dukeman, Greg A. "Closed-Loop Nominal and Abort Atmospheric Ascent Guidance for Rocket-Powered Launch Vehicles." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/6820.

Full text

Abstract:

An advanced ascent guidance algorithm for rocket-powered launch vehicles is developed. The ascent guidance function is responsible for commanding attitude, throttle and setting during the powered ascent phase of flight so that the vehicle attains target cutoff conditions in a near-optimal manner while satisfying path constraints such as maximum allowed bending moment and maximum allowed axial acceleration. This algorithm cyclically solves the calculus-of-variations two-point boundary-value problem starting at vertical rise completion through orbit insertion. This is different from traditional ascent guidance algorithms which operate in an open-loop mode until the high dynamic pressure portion of the trajectory is over, at which time there is a switch to a closed loop guidance mode that operates under the assumption of negligible aerodynamic forces. The main contribution of this research is an algorithm of the predictor-corrector type wherein the state/costate system is propagated with known (navigated) initial state and guessed initial costate to predict the state/costate at engine cutoff. The initial costate guess is corrected, using a multi-dimensional Newtons method, based on errors in the terminal state constraints and the transversality conditions. Path constraints are enforced within the propagation process. A modified multiple shooting method is shown to be a very effective numerical technique for this application. Results for a single stage to orbit launch vehicle are given. In addition, the formulation for the free final time multi-arc trajectory optimization problem is given. Results for a two-stage launch vehicle burn-coast-burn ascent to orbit in a closed-loop guidance mode are shown. An abort to landing site formulation of the algorithm and numerical results are presented. A technique for numerically treating the transversality conditions is discussed that eliminates part of the analytical and coding burden associated with optimal control theory.

APA, Harvard, Vancouver, ISO, and other styles

19

Scheichl, Robert. "Iterative solution of saddle point problems using divergence-free finite elements with applications to groundwater flow." Thesis, University of Bath, 2000. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341106.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

O'Donoghue, Padraic Eimear. "Boundary integral equation approach to nonlinear response control of large space structures : alternating technique applied to multiple flaws in three dimensional bodies." Diss., Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/20685.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Sun, Xun. "Twin solutions of even order boundary value problems for ordinary differential equations and finite difference equations." [Huntington, WV : Marshall University Libraries], 2009. http://www.marshall.edu/etd/descript.asp?ref=1014.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Radwan, Samir F. "Numerical solution of the three-dimensional boundary layer equations in the inverse mode using finite differences." Diss., Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/12029.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Wright, Ross Warren. "An automatic continuation strategy for the numerical solution of stiff two-point boundary value problems." Thesis, Imperial College London, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.306902.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Mahmood, Rashid Siddiqui. "Multilevel mesh adaptivity for elliptic boundary value problems in two and three space dimensions." Thesis, University of Leeds, 2002. http://etheses.whiterose.ac.uk/1303/.

Full text

Abstract:

In this work we have developed, implemented and tested a new multilevel hybrid algorithm for the adaptive finite element solution of a general class of variational problems. Our multilevel hybrid algorithm is a combination of node movement, edge swapping and local h-refinement. The adaptive strategy used in our hybrid algorithm is based upon the construction of a hierarchy of locally optimal meshes starting with a coarse grid for which the location and the connectivity of the nodes is optimised. The grid is then locally refined and the new mesh is optimised in the same manner. Our hybrid algorithm does not need any global solution of the problem, it uses only local information to update the nodal solution values by solving the local variational problems on a relatively small domain with only few unknowns. The node movement strategy is based upon knowledge of a steepest descent direction for each node found by a gradient calculation. A derivation of the gradient of stored energy with respect to the position of nodes is provided. A strategy for the movement of interior as well as boundary nodes is then given. Edge/face swapping in two and three space dimensions is explained and algorithms for node movement and edge swapping are given. Detailed descriptions of the possible local refinement strategies in two and three space dimensions are provided. Possible variants of our hybrid algorithm are considered and aspects of our hybrid algorithm regarding the quality of the meshes achieved and the computational work undertaken are discussed with some preliminary results. We have applied our hybrid algorithm on a number of test problems: considering linear, nonlinear and system of equations in two and three space dimensions. A detailed comparison of the results produced by our hybrid algorithm with other adaptive approaches has been made for all of our test problems. Results presented indicate that our hybrid algorithm can produce better meshes, in both two and three space dimensions, than is possible by more conventional adaptive strategies.

APA, Harvard, Vancouver, ISO, and other styles

25

Brown, Sarah M. "A numerical scheme for Mullins-Sekerka flow in three space dimensions /." Diss., CLICK HERE for online access, 2004. http://contentdm.lib.byu.edu/ETD/image/etd493.pdf.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Ritter, Baird S. "Solution strategies for second order, nonlinear, one dimensional, two point boundary value problems by FEM analysis." Thesis, Monterey, California : Naval Postgraduate School, 1990. http://handle.dtic.mil/100.2/ADA246063.

Full text

Abstract:

Thesis (M.S. in Mechanical Engineering)--Naval Postgraduate School, December 1990.<br>Thesis Advisor: Salinas, D. "December 1990." Description based on title screen as viewed on April 1, 2010. DTIC Identifier(s): Boundary value problems, finite element analysis, differential equations, problem solving, theses, interpolation, iterations, one dimensional, computer programs, approximation/mathematics, linearity. Author(s) subject terms: Galerkin FEM, nonlinear, quasilinearization, linearization, interpolation, iteration, differential equation, convergence. Includes bibliographical references (p. 164). Also available in print.

APA, Harvard, Vancouver, ISO, and other styles

27

Barros, André Azevedo Paes de [UNESP]. "Funções de Green para problemas de valor de contorno com três pontos." Universidade Estadual Paulista (UNESP), 2011. http://hdl.handle.net/11449/94222.

Full text

Abstract:

Made available in DSpace on 2014-06-11T19:26:55Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-01-28Bitstream added on 2014-06-13T20:35:09Z : No. of bitstreams: 1 barros_aap_me_sjrp.pdf: 459604 bytes, checksum: 0a23c4af2e8f9afe3807f0dd603a1237 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>O objetivo desse trabalho é estudar problemas de valor de contorno com três pontos lineares e não ineares, também conhecidos como problemas não Isto é feito, usando as funções de Green, usadas para resolver problemas de valor de contorno com dois pontos.<br>The aim of this work is to study boundary value problems with three points also known as non-classical problems. This is done using the Green's functions, which are used to solve two-point boundary value problems.

APA, Harvard, Vancouver, ISO, and other styles

28

Verão, Glauce Barbosa [UNESP]. "Problemas de valor de contorno não clássicos: uma abordagem usando funções de Green." Universidade Estadual Paulista (UNESP), 2007. http://hdl.handle.net/11449/86508.

Full text

Abstract:

Made available in DSpace on 2014-06-11T19:22:18Z (GMT). No. of bitstreams: 0 Previous issue date: 2007-02-18Bitstream added on 2014-06-13T18:07:52Z : No. of bitstreams: 1 verao_gb_me_sjrp.pdf: 363983 bytes, checksum: c59e477b48d1d71a3199f377018eead3 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>O objetivo deste trabalho é estudar problemas de valor de contorno do tipo {ÿ + f(t) =0 y(0)=0˙ y(1)= ky(η), (1) onde η ∈ (0, 1), k ∈ R e f ∈C([0, 1],R). Para antingirmos nosso objetivo usamosas funções de Green G(t,s)que nos permitem escrever a solução do problema(1)na seguinte forma: w(t)= ∫ 1 0 G(t,s)f(s)ds. Usando esta solução, investigamos através do ponto fixo de Schauder a solvabilidade do problema não linear { y + f(t,y)=0 y(0)=0˙ y(1)= ky(η).<br>The main goal of this work is study the following boundary value problems {ÿ + f(t) = 0 =0 y(0)=0˙ y(1)= ky(η), (1), where η ∈ (0, 1), k ∈ R e f ∈C([0, 1],R). To achieve our goal we use the Green's function G(t,s) which allow us to write the solution of the problem (2) in the form: w(t)= ∫ 1 0 G(t,s)f(s)ds. Using this solution and the Schauder point theory, also we study the solvability of a nonlinear problem { y + f(t,y)=0 y(0)=0˙ y(1)= ky(η).

APA, Harvard, Vancouver, ISO, and other styles

29

Verão, Glauce Barbosa. "Problemas de valor de contorno não clássicos : uma abordagem usando funções de Green /." São José do Rio Preto : [s.n.], 2011. http://hdl.handle.net/11449/86508.

Full text

Abstract:

Orientador: German Jesus Lozada Cruz<br>Banca: Luiz Augusto Fernandes de Oliveira<br>Banca: José Marcio Machado<br>Resumo: O objetivo deste trabalho é estudar problemas de valor de contorno do tipo {ÿ + f(t) =0 y(0)=0˙ y(1)= ky(η), (1) onde η ∈ (0, 1), k ∈ R e f ∈C([0, 1],R). Para antingirmos nosso objetivo usamosas funções de Green G(t,s)que nos permitem escrever a solução do problema(1)na seguinte forma: w(t)= ∫ 1 0 G(t,s)f(s)ds. Usando esta solução, investigamos através do ponto fixo de Schauder a solvabilidade do problema não linear { y + f(t,y)=0 y(0)=0˙ y(1)= ky(η).<br>Abstract: The main goal of this work is study the following boundary value problems {ÿ + f(t) = 0 =0 y(0)=0˙ y(1)= ky(η), (1), where η ∈ (0, 1), k ∈ R e f ∈C([0, 1],R). To achieve our goal we use the Green's function G(t,s) which allow us to write the solution of the problem (2) in the form: w(t)= ∫ 1 0 G(t,s)f(s)ds. Using this solution and the Schauder point theory, also we study the solvability of a nonlinear problem { y + f(t,y)=0 y(0)=0˙ y(1)= ky(η).<br>Mestre

APA, Harvard, Vancouver, ISO, and other styles

30

Nyamayaro, Takura T. A. "On the design and implementation of a hybrid numerical method for singularly perturbed two-point boundary value problems." University of the Western Cape, 2014. http://hdl.handle.net/11394/4326.

Full text

Abstract:

>Magister Scientiae - MSc<br>With the development of technology seen in the last few decades, numerous solvers have been developed to provide adequate solutions to the problems that model different aspects of science and engineering. Quite often, these solvers are tailor-made for specific classes of problems. Therefore, more of such must be developed to accompany the growing need for mathematical models that help in the understanding of the contemporary world. This thesis treats two point boundary value singularly perturbed problems. The solution to this type of problem undergoes steep changes in narrow regions (called boundary or internal layer regions) thus rendering the classical numerical procedures inappropriate. To this end, robust numerical methods such as finite difference methods, in particular fitted mesh and fitted operator methods have extensively been used. While the former consists of transforming the continuous problem into a discrete one on a non-uniform mesh, the latter involves a special discretisation of the problem on a uniform mesh and are known to be more accurate. Both classes of methods are suitably designed to accommodate the rapid change(s) in the solution. Quite often, finite difference methods on piece-wise uniform meshes (of Shishkin-type) are adopted. However, methods based on such non-uniform meshes, though layer-resolving, are not easily extendable to higher dimensions. This work aims at investigating the possibility of capitalising on the advantages of both fitted mesh and fitted operator methods. Theoretical results are confirmed by extensive numerical simulations.

APA, Harvard, Vancouver, ISO, and other styles

31

Buchele, Suzanne Fox. "Three-dimensional binary space partitioning tree and constructive solid geometry tree construction from algebraic boundary representations /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Chilton, Davinia. "An alternative approach to the analysis of two-point boundary value problems for linear evolution PDEs and applications." Thesis, University of Reading, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.435660.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Barros, André Azevedo Paes de. "Funções de Green para problemas de valor de contorno com três pontos /." São José do Rio Preto : [s.n.], 2011. http://hdl.handle.net/11449/94222.

Full text

Abstract:

Orientador: Germán Jesus Lozada Cruz<br>Banca: Marco Aparecido Queiroz Duarte<br>Banca: Juliana Conceição Precioso Pereira<br>Resumo: O objetivo desse trabalho é estudar problemas de valor de contorno com três pontos lineares e não ineares, também conhecidos como problemas não Isto é feito, usando as funções de Green, usadas para resolver problemas de valor de contorno com dois pontos.<br>Abstract: The aim of this work is to study boundary value problems with three points also known as non-classical problems. This is done using the Green's functions, which are used to solve two-point boundary value problems.<br>Mestre

APA, Harvard, Vancouver, ISO, and other styles

34

Soares, M. J. "A posteriori corrections for cubic and quintic interpolating splines with applications to the solution of two-point boundary value problems." Thesis, Brunel University, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.373087.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Jentsch, Lothar, and David Natroshvili. "Three-dimensional mathematical Problems of thermoelasticity of anisotropic Bodies." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800967.

Full text

Abstract:

CHAPTER I. Basic Equations. Fundamental Matrices. Thermo-Radiation Conditions 1. Basic differential equations of thermoelasticity theory 2. Fundamental matrices 3. Thermo-radiating conditions. Somigliana type integral representations CHAPTER II. Formulation of Boundary Value and Interface Problems 4. Functional spaces 5. Formulation of basic and mixed BVPs 6. Formulation of crack type problems 7. Formulation of basic and mixed interface problems CHAPTER III. Uniqueness Theorems 8. Uniqueness theorems in pseudo-oscillation problems 9. Uniqueness theorems in steady state oscillation problems CHAPTER IV. Potentials and Boundary Integral Operators 10. Thermoelastic steady state oscillation potentials 11. Pseudo-oscillation potentials CHAPTER V. Regular Boundary Value and Interface Problems 12. Basic BVPs of pseudo-oscillations 13. Basic exterior BVPs of steady state oscillations 14. Basic interface problems of pseudo-oscillations 15. Basic interface problems of steady state oscillations CHAPTER VI. Mixed and Crack Type Problems 16. Basic mixed BVPs 17. Crack type problems 18. Mixed interface problems of steady state oscillations 19. Mixed interface problems of pseudo-oscillations

APA, Harvard, Vancouver, ISO, and other styles

36

Sayi, Mbani T. "High Accuracy Fitted Operator Methods for Solving Interior Layer Problems." University of the Western Cape, 2020. http://hdl.handle.net/11394/7320.

Full text

Abstract:

Philosophiae Doctor - PhD<br>Fitted operator finite difference methods (FOFDMs) for singularly perturbed problems have been explored for the last three decades. The construction of these numerical schemes is based on introducing a fitting factor along with the diffusion coefficient or by using principles of the non-standard finite difference methods. The FOFDMs based on the latter idea, are easy to construct and they are extendible to solve partial differential equations (PDEs) and their systems. Noting this flexible feature of the FOFDMs, this thesis deals with extension of these methods to solve interior layer problems, something that was still outstanding. The idea is then extended to solve singularly perturbed time-dependent PDEs whose solutions possess interior layers. The second aspect of this work is to improve accuracy of these approximation methods via methods like Richardson extrapolation. Having met these three objectives, we then extended our approach to solve singularly perturbed two-point boundary value problems with variable diffusion coefficients and analogous time-dependent PDEs. Careful analyses followed by extensive numerical simulations supporting theoretical findings are presented where necessary.

APA, Harvard, Vancouver, ISO, and other styles

37

Fier, Jeffrey Michael Keller Herbert Bishop Keller Herbert Bishop. "Part I. Fold continuation and the flow between rotating, coaxial disks. : Part II. Equilibrium chaos. Part III. A mesh selection algorithm for two-point boundary value problems /." Diss., Pasadena, Calif. : California Institute of Technology, 1985. http://resolver.caltech.edu/CaltechETD:etd-03262008-150456.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Luboya, Silhady Tshitende. "Finite element methods applied to boundary value problems derived from the deflection curve of a beam under the action of a point and a uniformly distributed load." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-79196.

Full text

Abstract:

In this thesis, we analyze a roller - pinned supported beam of length L subjected to a point load at a distance `1 and a uniformly distributed load over the entire span of the beam. The aim of this study is to determine the slope and the vertical deflection curve of the beam. The analysis is conducted by applying the finite element method, which consists of dividing the whole domain into geometrically simple subdomains, namely elements. The analysis is then performed for each subdomain separately. The approximate solution is obtained by assembling all the elements. The problem is reduced into solving a system of linear algebraic equations. It can be expressed in the matrix form as A = where A is the stiffness matrix, the vector of nodal variables, and the load vector. The finite element method has produced a solution close to the analytical solution.The finite element solution is improved by increasing the number of elements with variablestep sized element. The error based on the L2-norm with respect to the displacement is presented as well as the condition number of the stiffness matrix. The finite element method is implemented in Matlab, and the diagram of the deflected beam is presented.

APA, Harvard, Vancouver, ISO, and other styles

39

Santos, Dionicio Pastor Dallos. "Resultados de existência para alguns problemas não lineares com valores na fronteira de equações diferenciais." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05122017-131906/.

Full text

Abstract:

O principal objetivo deste trabalho é estudar a existência de soluções para alguns problemas de valores de contorno de equações diferenciais ordinárias não lineares em dimensão finita e infinita. Todos os sistemas considerados nesta investigação são transformados em equações funcionais nas quais o objetivo é encontrar um ponto fixo de um oportuno operador definido em um espaço de funções (que depende do problema estudado). Para isso, faremos uso do grau de Leray-Schauder e de um conceito de grau topológico, devido a R. Nussbaum, para perturbações não compactas da identidade em espaços de Banach.<br>The main purpose of this work is to study the existence of solutions to some boundary value problems for nonlinear ordinary differential equations in finite and infinite dimension. All systems considered in this research are transformed into functional equations in which the objective is to find a fixed point of a suitable operator defined in a space of functions (which depends on the studied problem). To do this, we use the Leray-Schauder degree and a concept of topological degree due to R. Nussbaum for non-compact perturbations of identity in Banach spaces.

APA, Harvard, Vancouver, ISO, and other styles

40

Antoniouk, Alexandra, Oleg Kiselev, Vitaly Stepanenko, and Nikolai Tarkhanov. "Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6198/.

Full text

Abstract:

The Dirichlet problem for the heat equation in a bounded domain is characteristic, for there are boundary points at which the boundary touches a characteristic hyperplane t = c, c being a constant. It was I.G. Petrovskii (1934) who first found necessary and sufficient conditions on the boundary which guarantee that the solution is continuous up to the characteristic point, provided that the Dirichlet data are continuous. This paper initiated standing interest in studying general boundary value problems for parabolic equations in bounded domains. We contribute to the study by constructing a formal solution of the Dirichlet problem for the heat equation in a neighbourhood of a characteristic boundary point and showing its asymptotic character.

APA, Harvard, Vancouver, ISO, and other styles

41

Jakaitytė, Eglė. "Paprastųjų diferencialinių lygčių su ypatuma modifikuotieji kraštiniai uždaviniai." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2008. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2008~D_20080924_175412-35930.

Full text

Abstract:

Magistro baigiamajame darbe nagrinėjama antrosios eilės tiesinė nehomogeninė diferencialinė lygtis intervale, kurio kairysis kraštas yra nagrinėjamosios lygties koeficientų ireguliarusis ypatingasis taškas. Ištirta sprendinių asimptotika ypatingojo taško aplinkoje ir išnagrinėti trys šios lygties kraštiniai uždaviniai, kurių formulavimas iš esmės priklauso nuo lygties parametro ženklo.<br>The present Master thesis analyses the second order linear differential equation in interval which left side coincides with irregular singular point of this equation. The asymptotics of the solutions in the neighbourhood of singular point is investigated and three boundary value problems, statement of which principally depends on equation parameter sign, have been analyzed.

APA, Harvard, Vancouver, ISO, and other styles

42

Franke-Börner, Antje [Verfasser], Klaus [Akademischer Betreuer] Spitzer, Klaus [Gutachter] Spitzer, and Philip E. [Gutachter] Wannamaker. "Three-dimensional finite element simulation of magnetotelluric fields on unstructured grids : on the efficient formulation of the boundary value problem / Antje Franke-Börner ; Gutachter: Klaus Spitzer, Philip E. Wannamaker ; Betreuer: Klaus Spitzer." Freiberg : Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2013. http://d-nb.info/1220636134/34.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Franceschi, Sandro. "Approche analytique pour le mouvement brownien réfléchi dans des cônes." Thesis, Tours, 2017. http://www.theses.fr/2017TOUR4046/document.

Full text

Abstract:

Le mouvement Brownien réfléchi de manière oblique dans le quadrant, introduit par Harrison, Reiman, Varadhan et Williams dans les années 80, est un objet largement analysé dans la littérature probabiliste. Cette thèse, qui présente l’étude complète de la mesure invariante de ce processus dans tous les cônes du plan, a pour objectif plus global d’étendre au cadre continu une méthode analytique développée initialement pour les marches aléatoires dans le quart de plan par Fayolle, Iasnogorodski et Malyshev dans les années 70. Cette approche est basée sur des équations fonctionnelles, reliant des fonctions génératrices dans le cas discret et des transformées de Laplace dans le cas continu. Ces équations permettent de déterminer et de résoudre des problèmes frontière satisfaits par ces fonctions génératrices. Dans le cas récurrent, cela permet de calculer explicitement la mesure invariante du processus avec rebonds orthogonaux, dans le chapitre 2, et avec rebonds quelconques, dans le chapitre 3. Les transformées de Laplace des mesures invariantes sont prolongées analytiquement sur une surface de Riemann induite par le noyau de l’équation fonctionnelle. L’étude des singularités et l’application de méthodes du point col sur cette surface permettent de déterminer l’asymptotique complète de la mesure invariante selon toutes les directions dans le chapitre 4<br>Obliquely reflected Brownian motion in the quadrant, introduced by Harrison, Reiman, Varadhan and Williams in the eighties, has been studied a lot in the probabilistic literature. This thesis, which presents the complete study of the invariant measure of this process in all the cones of the plan, has for overall aim to extend to the continuous framework an analytic method initially developped for random walks in the quarter plane by Fayolle, Iasnogorodski and Malyshev in the seventies. This approach is based on functional equations which link generating functions in the discrete case and Laplace transform in the continuous case. These equations allow to determine and to solve boundary value problems satisfied by these generating functions. In the recurrent case, it permits to compute explicitly the invariant measure of the process with orthogonal reflexions, in the chapter 2, and with any reflexions, in the chapter 3. The Laplace transform of the invariant measure is analytically extended to a Riemann surface induced by the kernel of the functional equation. The study of singularities and the use of saddle point methods on this surface allows to determine the full asymptotics of the invariant measure along every directions in the chapter 4

APA, Harvard, Vancouver, ISO, and other styles

44

Norris, Gordon F. "Spectral integration and the numerical solution of two-point boundary value problems." Thesis, 1999. http://hdl.handle.net/1957/33271.

Full text

Abstract:

Spectral integration methods have been introduced for constant-coefficient two-point boundary value problems by Greengard, and pseudospectral integration methods for Volterra integral equations have been investigated by Kauthen. This thesis presents an approach to variable-coefficient two-point boundary value problems which employs pseudospectral integration methods to solve an equivalent integral equation. This thesis covers three topics in the application of spectral integration methods to two-point boundary value problems. The first topic is the development of the spectral integration concept and a derivation of the spectral integration matrices. The derivation utilizes the discrete Chebyshev transform and leads to a stable algorithm for generating the integration matrices. Convergence theory for spectral integration of C[subscript k] and analytic functions is presented. Matrix-free implementations are discussed with an emphasis on computational efficiency. The second topic is the transformation of boundary value problems to equivalent Fredholm integral equations and discretization of the resulting integral equations. The discussion of boundary condition treatments includes Dirichlet, Neumann, and Robin type boundary conditions. The final topic is a numerical comparison of the spectral integration and spectral differentiation approaches to two-point boundary value problems. Numerical results are presented on the accuracy and efficiency of these two methods applied to a set of model problems. The main theoretical result of this thesis is a proof that the error in spectral integration of analytic functions decays exponentially with the number of discretization points N. It is demonstrated that spectrally accurate solutions to variable-coefficient boundary value problems can be obtained in O(NlogN) operations by the spectral integration method. Numerical examples show that spectral integration methods are competitive with spectral differentiation methods in terms of accuracy and efficiency.<br>Graduation date: 2000

APA, Harvard, Vancouver, ISO, and other styles

45

Chan, Cheng-Chu, and 詹正渠. "Existence of Positive Solutions for Multi-Point Boundary Value Problems." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/5duy84.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Haung, Tien-Sheng, and 黃天生. "Existence of Solutions for Multi-Point Higher Order Boundary Value Problems." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/z87999.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Sai, V. V. V. Sesha. "Utility Of Phase Space Behaviour In Solving Two Point Boundary Value Problems." Thesis, 1999. http://etd.iisc.ernet.in/handle/2005/1517.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Benhsaien, Abdessamad. "Numerical applications of quadratic splines : interpolation and two-point boundary value problems." 1996. http://hdl.handle.net/1993/19112.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Tang, Hui-Hsuan, and 唐慧萱. "Numerical Solution of Two Point Boundary Value Problems Using NURBS FEM Method." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/05870492593096130105.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

HUNG, CHIH-LUN, and 洪志綸. "Existence of Solutions for 2n-th Order Two-Point Boundary Value Problems." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/289k8m.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!