Relevant bibliographies by topics / Three-point boundary value problems

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Academic literature on the topic 'Three-point boundary value problems'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Three-point boundary value problems"

1

Xian, Xu. "Three solutions for three-point boundary value problems." Nonlinear Analysis: Theory, Methods & Applications 62, no. 6 (2005): 1053–66. http://dx.doi.org/10.1016/j.na.2005.04.017.

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Sveikate, Nadezhda. "ON THREE-POINT BOUNDARY VALUE PROBLEM." Mathematical Modelling and Analysis 21, no. 2 (2016): 270–81. http://dx.doi.org/10.3846/13926292.2016.1154113.

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Three-point boundary value problems for the second order nonlinear ordinary differential equations are considered. Existence of solutions are established by using the quasilinearization approach. As an application, the Emden-Fowler type problems with nonresonant and resonant linear parts are considered to demonstrate our results.
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López, J. L., Ester Pérez Sinusía, and N. M. Temme. "A three-point Taylor algorithm for three-point boundary value problems." Journal of Differential Equations 251, no. 1 (2011): 26–44. http://dx.doi.org/10.1016/j.jde.2011.03.022.

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Prakash, P., G. Sudha Priya, and J. H. Kim. "Third-order three-point fuzzy boundary value problems." Nonlinear Analysis: Hybrid Systems 3, no. 3 (2009): 323–33. http://dx.doi.org/10.1016/j.nahs.2009.02.001.

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Santos, Dionicio Pastor Dallos. "Three-point boundary value problems in Banach spaces." Boletín de la Sociedad Matemática Mexicana 25, no. 2 (2018): 351–62. http://dx.doi.org/10.1007/s40590-018-0200-3.

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Peterson, A. C., Y. N. Raffoul †, and C. C. Tisdell ‡. "Three Point Boundary Value Problems on Time Scales." Journal of Difference Equations and Applications 10, no. 9 (2004): 843–49. http://dx.doi.org/10.1080/10236190410001702481.

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Zhang, Guang, and R. Medina. "Three-point boundary value problems for difference equations." Computers & Mathematics with Applications 48, no. 12 (2004): 1791–99. http://dx.doi.org/10.1016/j.camwa.2004.09.002.

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Miao, Ye-hong, and Ji-hui Zhang. "Positive solutions of three-point boundary value problems." Applied Mathematics and Mechanics 29, no. 6 (2008): 817–23. http://dx.doi.org/10.1007/s10483-008-0613-y.

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Boucherif, Abdelkader, and Nawal Al-Malki. "Nonlinear three-point third-order boundary value problems." Applied Mathematics and Computation 190, no. 2 (2007): 1168–77. http://dx.doi.org/10.1016/j.amc.2007.02.039.

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Luca, Rodica. "On a class of $m$-point boundary value problems." Mathematica Bohemica 137, no. 2 (2012): 187–94. http://dx.doi.org/10.21136/mb.2012.142864.

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

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

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

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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.

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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.

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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.
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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.

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

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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
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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.

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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.

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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
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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.

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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.
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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.

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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.
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Books on the topic "Three-point boundary value problems"

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Schaaf, Renate. Globalsolution branches of two point boundary value problems. Springer-Verlag, 1990.

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Keller, Herbert Bishop. Numerical methods for two-point boundary-value problems. Dover Publications, 1992.

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Andres, Jan, and Lech Górniewicz. Topological Fixed Point Principles for Boundary Value Problems. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0407-6.

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Coster, Colette De. Two-point boundary value problems: Lower and upper solutions. Elsevier, 2006.

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Patrick, Habets, ed. Two-point boundary value problems: Lower and upper solutions. Elsevier, 2006.

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Coster, Colette De. Two-point boundary value problems: Lower and upper solutions. Elsevier, 2006.

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Global solution branches of two point boundary value problems. Springer-Verlag, 1990.

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Schaaf, Renate. Global Solution Branches of Two Point Boundary Value Problems. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0098346.

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G, Mazʹi͡a︡ V., and Rossmann J. 1954-, eds. Elliptic boundary value problems in domains with point singularities. American Mathematical Society, 1997.

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Socrates, Papageorgiou Nikolaos, ed. Nonsmooth critical point theory and nonlinear boundary value problems. CRC Press, 2005.

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Book chapters on the topic "Three-point boundary value problems"

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Schechter, Martin. "Semilinear Boundary Value Problems." In Linking Methods in Critical Point Theory. Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-1596-7_3.

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Agarwal, Ravi P., and Patricia J. Y. Wong. "A Three-Point Boundary Value Problem." In Advanced Topics in Difference Equations. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8899-7_27.

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Quarteroni, Alfio, Riccardo Sacco, and Fausto Saleri. "Two-Point Boundary Value Problems." In Texts in Applied Mathematics. Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-22750-4_12.

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Quarteroni, Alfio, Riccardo Sacco, and Fausto Saleri. "Two-Point Boundary Value Problems." In Texts in Applied Mathematics. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-49809-4_12.

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Golden, John M., and George A. C. Graham. "Three-dimensional Contact Problems." In Boundary Value Problems in Linear Viscoelasticity. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-662-06156-5_5.

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Zettl, Anton. "Two-point regular boundary value problems." In Mathematical Surveys and Monographs. American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/121/03.

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Zettl, Anton. "Two-point singular boundary value problems." In Mathematical Surveys and Monographs. American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/121/09.

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Hermann, Martin, and Masoud Saravi. "Nonlinear Two-Point Boundary Value Problems." In Nonlinear Ordinary Differential Equations. Springer India, 2016. http://dx.doi.org/10.1007/978-81-322-2812-7_4.

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England, Roland, and Robert M. M. Mattheij. "Discretizations with Dichotomic Stability for Two-Point Boundary Value Problems." In Numerical Boundary Value ODEs. Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4612-5160-6_5.

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Enright, W. H. "Improving the Performance of Numerical Methods for Two Point Boundary Value Problems." In Numerical Boundary Value ODEs. Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4612-5160-6_6.

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Conference papers on the topic "Three-point boundary value problems"

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Wang, Lei. "Positive Solutions for Some Three-point Boundary Value Problems." In 2012 5th International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2012. http://dx.doi.org/10.1109/iwcfta.2012.25.

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Zhihua Li. "Solutions of a third-order three-point boundary value problems." In 2010 International Conference on Computer Application and System Modeling (ICCASM 2010). IEEE, 2010. http://dx.doi.org/10.1109/iccasm.2010.5622201.

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Swati, Karanjeet Singh, and Mandeep Singh. "Uniform Haar wavelet collocation method for three-point boundary value problems." In ADVANCEMENTS IN MATHEMATICS AND ITS EMERGING AREAS. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0003539.

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Skeel, Robert D., Ruijun Zhao, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Solving Geometric Two-Point Boundary Value Problems." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636663.

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Mawhin, J. "Boundary value problems for nonlinear perturbations of some φ-Laplacians". У Fixed Point Theory and its Applications. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc77-0-15.

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Guezane‐Lakoud, Assia, and Rabah Khaldi. "Study of a third‐order three‐point boundary value problem." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525132.

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Guezane‐Lakoud, Assia, and Rabah Khaldi. "Study of a third‐order three‐point boundary value problem." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525181.

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Rachunková, Irena, and Jan Tomeček. "Fixed point problem associated with state-dependent impulsive boundary value problems." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912444.

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Yitao Yang and Fanwei Meng. "Positive solutions for a class of three-point boundary value problem." In 2011 International Conference on Information Science and Technology (ICIST). IEEE, 2011. http://dx.doi.org/10.1109/icist.2011.5765122.

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Al-Askar, Farah M. "Positive solutions for a semipositone three-point fractional boundary value problem." In INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013): Proceedings of the International Conference on Mathematical Sciences and Statistics 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4823936.

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Reports on the topic "Three-point boundary value problems"

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Greengard, L. Spectral Integration and Two-Point Boundary Value Problems. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada199805.

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Greengard, L., and V. Rokhlin. On the Numerical Solution of Two-Point Boundary Value Problems. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada211244.

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Keller, H. B., and H. O. Kreiss. Mathematical Software for Hyperbolic Equations and Two Point Boundary Value Problems. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada151982.

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R. Axford. Applications of Lie Groups and Gauge Functions to the Construction of Exact Difference Equations for Initial and Two-Point Boundary Value Problems. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/810261.

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Ferguson, Warren E., and Jr. Analysis of a Singularly-Perturbed Linear Two-Point Boundary-Value Problem. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada172582.

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