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Relevant bibliographies by topics / Ordinary differential equations – Boundary value problems – Boundary value problems on graphs and networks

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Academic literature on the topic 'Ordinary differential equations – Boundary value problems – Boundary value problems on graphs and networks'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2025

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Journal articles on the topic "Ordinary differential equations – Boundary value problems – Boundary value problems on graphs and networks"

1

Temesheva, S. M., and P. B. Abdimanapova. "ON A METHOD FOR SOLVING A FAMILY OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS." BULLETIN Series of Physics & Mathematical Sciences 73, no. 1 (2021): 70–75. http://dx.doi.org/10.51889/2021-1.1728-7901.09.

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In this paper, we consider a boundary value problem for a family of linear differential equations that obey a family of nonlinear two-point boundary conditions. For each fixed value of the family parameter, the boundary value problem under study is a nonlinear two-point boundary value problem for a system of ordinary differential equations. Non-local boundary value problems for systems of partial differential equations, in particular, non-local boundary value problems for systems of hyperbolic equations with mixed derivatives, can be reduced to the family of boundary value problems for ordinar

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O'Regan, Donal. "Boundary value problems on noncompact intervals." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 125, no. 4 (1995): 777–99. http://dx.doi.org/10.1017/s0308210500030341.

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Karandzhulov, L. I. "Boundary-value problems for parametric ordinary differential equations." Ukrainian Mathematical Journal 46, no. 4 (1994): 389–95. http://dx.doi.org/10.1007/bf01060408.

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Yakubov, Yakov. "Irregular boundary value problems for ordinary differential equations." Analysis 18, no. 4 (1998): 359–402. http://dx.doi.org/10.1524/anly.1998.18.4.359.

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Nieto, Juan J., and Donal O'Regan. "Singular Boundary Value Problems for Ordinary Differential Equations." Boundary Value Problems 2009 (2009): 1–2. http://dx.doi.org/10.1155/2009/895290.

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Ehme, J. "Nonlinear Boundary Value Problems for Ordinary Differential Equations." Journal of Mathematical Analysis and Applications 184, no. 1 (1994): 140–45. http://dx.doi.org/10.1006/jmaa.1994.1189.

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Irina, Belyaeva, Chekanov Nikalay, Chekanova Natalia, Kirichenko Igor, Ptashny Oleg, and Yarkho Tetyana. "CALCULATION OF THE GREEN'S FUNCTION OF BOUNDARY VALUE PROBLEMS FOR LINEAR ORDINARY DIFFERENTIAL EQUATIONS." Eastern-European Journal of Enterprise Technologies 1, no. 4 (103) (2020): 43–52. https://doi.org/10.15587/1729-4061.2020.193470.

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The Green’s function is widely used in solving boundary value problems for differential equations, to which many mathematical and physical problems are reduced. In particular, solutions of partial differential equations by the Fourier method are reduced to boundary value problems for ordinary differential equations. Using the Green's function for a homogeneous problem, one can calculate the solution of an inhomogeneous differential equation. Knowing the Green's function makes it possible to solve a whole class of problems of finding eigenvalues in quantum field theory. The develo

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Yurko, Vjacheslav Anatoljevich. "Recovering differential pencils on graphs with a cycle from spectra." Tamkang Journal of Mathematics 45, no. 2 (2014): 195–206. http://dx.doi.org/10.5556/j.tkjm.45.2014.1492.

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We study boundary value problems on compact graphs with a cycle for second-order ordinary differential equations with nonlinear dependence on the spectral parameter. We establish properties of the spectral characteristics and investigate inverse spectral problems of recovering coefficients of the differential equation from spectra. For these inverse problems we prove uniqueness theorems and provide procedures for constructing their solutions.

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Abdimanapova, P. B., and S. M. Temesheva. "Well-posedness criteria for one family of boundary value problems." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 112, no. 4 (2023): 5–20. http://dx.doi.org/10.31489/2023m4/5-20.

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This paper considers a family of linear two-point boundary value problems for systems of ordinary differential equations. The questions of existence of its solutions are investigated and methods of finding approximate solutions are proposed. Sufficient conditions for the existence of a family of linear two-point boundary value problems for systems of ordinary differential equations are established. The uniqueness of the solution of the problem under consideration is proved. Algorithms for finding an approximate solution based on modified of the algorithms of the D.S. Dzhumabaev parameterizatio

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R. Hasan, Hussein, and Fadhel S. Fadhel. "Variational Iteration Approach for Solving Two-Points Fuzzy Boundary Value Problems." Al-Nahrain Journal of Science 26, no. 3 (2023): 51–59. http://dx.doi.org/10.22401/anjs.26.3.08.

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The main objective of this paper is to introduce interval two-point fuzzy boundary value problems, in which the fuzziness course when the coefficients of the governing ordinary differential equation and/or the boundary conditions include fuzzy numbers of either triangular or trapezoidal types. Such equations will be solved by introducing the concept of α – level sets, α  [0,1] to treat the fuzzy ordinary differential equation into two nonfuzzy ordinary differential equations, which correspond to the lower and upper solutions of the interval fuzzy solutions. The well-known variational iteratio

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Dissertations / Theses on the topic "Ordinary differential equations – Boundary value problems – Boundary value problems on graphs and networks"

1

Boutayeb, Abdesslam. "Numerical methods for high-order ordinary differential equations with applications to eigenvalue problems." Thesis, Brunel University, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.278244.

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Hermansyah, Edy. "An investigation of collocation algorithms for solving boundary value problems system of ODEs." Thesis, University of Newcastle Upon Tyne, 2001. http://hdl.handle.net/10443/1976.

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This thesis is concerned with an investigation and evaluation of collocation algorithms for solving two-point boundary value problems for systems of ordinary differential equations. An emphasis is on developing reliable and efficient adaptive mesh selection algorithms in piecewise collocation methods. General background materials including basic concepts and descriptions of the method as well as some functional analysis tools needed in developing some error estimates are given at the beginning. A brief review of some developments in the methods to be used is provided for later referencing. By

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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.

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Gray, Michael Jeffery Henderson Johnny L. "Uniqueness implies uniqueness and existence for nonlocal boundary value problems for third order ordinary differential equations." Waco, Tex. : Baylor University, 2006. http://hdl.handle.net/2104/4185.

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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.

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Birkisson, Asgeir. "Numerical solution of nonlinear boundary value problems for ordinary differential equations in the continuous framework." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:1df19052-5eb3-4398-a7b2-b103e380ec2c.

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Ordinary differential equations (ODEs) play an important role in mathematics. Although intrinsically, the setting for describing ODEs is the continuous framework, where differential operators are considered as maps from one function space to another, common numerical algorithms for ODEs discretise problems early on in the solution process. This thesis is about continuous analogues of such discrete algorithms for the numerical solution of ODEs. This thesis shows how Newton's method for finite dimensional system can be generalised to function spaces, where it is known as Newton-Kantorovich itera

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Charoenphon, Sutthirut. "Green's Functions of Discrete Fractional Calculus Boundary Value Problems and an Application of Discrete Fractional Calculus to a Pharmacokinetic Model." TopSCHOLAR®, 2014. http://digitalcommons.wku.edu/theses/1327.

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Fractional calculus has been used as a research tool in the fields of pharmacology, biology, chemistry, and other areas [3]. The main purpose of this thesis is to calculate Green's functions of fractional difference equations, and to model problems in pharmacokinetics. We claim that the discrete fractional calculus yields the best prediction performance compared to the continuous fractional calculus in the application of a one-compartmental model of drug concentration. In Chapter 1, the Gamma function and its properties are discussed to establish a theoretical basis. Additionally, the basics o

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Fogelklou, Oswald. "Computer-Assisted Proofs and Other Methods for Problems Regarding Nonlinear Differential Equations." Doctoral thesis, Uppsala universitet, Analys och tillämpad matematik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-161314.

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This PhD thesis treats some problems concerning nonlinear differential equations. In the first two papers computer-assisted proofs are used. The differential equations there are rewritten as fixed point problems, and the existence of solutions are proved. The problem in the first paper is one-dimensional; with one boundary condition given by an integral. The problem in the second paper is three-dimensional, and Dirichlet boundary conditions are used. Both problems have their origins in fluid dynamics. Paper III describes an inverse problem for the heat equation. Given the solution, a solution

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Lee, Chung-Fen, and 李中芬. "Nonlinear Boundary Value Problems for Some Ordinary Differential Equations." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/75420954778947800289.

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博士<br>國立中央大學<br>數學研究所<br>90<br>In this dissertation, we will study nonlinear boundary value problems for some ordinary differential equations. In chapters 1 and 2, we study the following generalized Laplacian boundary value problems : (g(u''))''=f(t,u(t),u''(t)), 0<t<1. We establish the solution existence and uniqueness for the problem under different conditions concerning f(t,u(t),u''(t)). In chapters 3 and 4, we consider the following nonlinear fourth order boundary value problems : u''+rf(t,u(t))=0, 0<t<1. Consider different conditions concerning f(t,u(t)), we study the existence

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LI, PING-HAO, and 李炳浩. "Numerical Study on Boundary Value Problems of Ordinary Differential Equations." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/bby7s2.

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碩士<br>國立高雄師範大學<br>數學系<br>106<br>In this thesis, we consider numerical methods of two-point boundary-value problems. First, we introduce some basic concepts of ordinary differential equations. Second, numerical methods of initial-value problems are studied. For approximating first-order initial-value problems, the methods can be divided into two types：one approximates the original problem point by point；the other one, called Picard iteration, performs integration to approximate the function contained in the original problem. Second-order initial-value problems are also taken into consideration,

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Books on the topic "Ordinary differential equations – Boundary value problems – Boundary value problems on graphs and networks"

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B, Guenther Ronald, and Lee John W. 1942-, eds. Nonlinear boundary value problems for ordinary differential equations. Państwowe Wydawn. Nauk., 1985.

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Boyce, William E. Elementary differential equations and boundary value problems. 6th ed. J. Wiley, 1997.

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Boyce, William E. Elementary differential equations and boundary value problems. 8th ed. Wiley, 2005.

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Boyce, William E. Elementary differential equations and boundary value problems. 4th ed. Wiley, 1986.

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1927-, DiPrima Richard C., ed. Elementary differential equations and boundary value problems. 5th ed. Wiley, 1992.

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C, DiPrima Richard, ed. Elementary differential equations and boundary value problems. 5th ed. Wiley, 1992.

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C, DiPrima Richard, ed. Elementary differential equations and boundary value problems. 7th ed. Wiley, 2003.

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C, DiPrima Richard, ed. Elementary differential equations and boundary value problems. 7th ed. Wiley, 2001.

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C, DiPrima Richard, ed. Elementary differential equations and boundary value problems. 4th ed. Wiley, 1986.

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C, DiPrima Richard, ed. Elementary differential equations and boundary value problems. 8th ed. Wiley, 2005.

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Book chapters on the topic "Ordinary differential equations – Boundary value problems – Boundary value problems on graphs and networks"

1

Meher, Ramakanta. "Boundary Value Problems." In Textbook on Ordinary Differential Equations. River Publishers, 2022. http://dx.doi.org/10.1201/9781003360643-7.

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Walter, Wolfgang. "Boundary Value and Eigenvalue Problems." In Ordinary Differential Equations. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0601-9_7.

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Agarwal, Ravi P., and Donal O’Regan. "Boundary Value Problems (Cont’d.)." In Ordinary and Partial Differential Equations. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-79146-3_15.

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O’Regan, Donal. "Positone boundary value problems." In Existence Theory for Nonlinear Ordinary Differential Equations. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-017-1517-1_7.

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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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Henner, Victor, Alexander Nepomnyashchy, Tatyana Belozerova, and Mikhail Khenner. "Boundary-Value Problems for Second-Order ODEs." In Ordinary Differential Equations. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25130-6_9.

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Fox, L., and D. F. Mayers. "Initial-value methods for boundary-value problems." In Numerical Solution of Ordinary Differential Equations. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3129-9_5.

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Jacques, Ian, and Colin Judd. "Ordinary differential equations: boundary value problems." In Numerical Analysis. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-017-5471-2_8.

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Jacques, Ian, and Colin Judd. "Ordinary differential equations: boundary value problems." In Numerical Analysis. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3157-2_8.

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Rajasekar, Shanmuganathan. "Ordinary Differential Equations – Boundary-Value Problems." In Numerical Methods. CRC Press, 2024. http://dx.doi.org/10.1201/9781032649931-13.

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Conference papers on the topic "Ordinary differential equations – Boundary value problems – Boundary value problems on graphs and networks"

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Demiralp, Metin. "Boundary value problems of explicit ordinary differential equations from probabilistic evolution perspective." In 9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4765505.

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Venkataraman, P. "A New Class of Analytical Solutions to Nonlinear Boundary Value Problems." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84604.

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This paper establishes a new class of analytical solutions for nonlinear boundary value problems defined by systems of ordinary differential equations. This class uses Bezier functions derived from Bezier curves. Three engineering examples, (1) a fully developed laminar flow in a pipe with constant surface temperature; (2) a three dimensional flow over a rotating disk; (3) a three dimensional rotating flow over a stationary disk, are solved and the analytical solution is provided. These solutions are graphically indistinguishable from the exact or numerical solutions used for comparison. The s

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Venkataraman, P. "Continuous Solution for Boundary Value Problems on Non Rectangular Geometry." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12269.

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Boundary value problems on a rectangular domain can also be solved through non domain discretization techniques. These methods yield high order continuous solutions. One such method, based on Bézier functions and developed by the author, can solve linear, nonlinear, ordinary, partial, single, or coupled systems of differential equations, using the same consistent approach. In this paper the technique is extended to non-rectangular domains. This provides a mesh free alternate to the family of finite element or finite difference methods that are currently used to solve these problems. The proble

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GROZA, GHIOCEL, and NICOLAE POP. "NUMERICAL SOLUTIONS OF TWO-POINT BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS USING PARTICULAR NEWTON INTERPOLATING SERIES." In Applied Analysis and Differential Equations - The International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708229_0014.

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Sestelo, Rubén Figueroa, Rodrigo López Pouso, Alberto Cabada, Eduardo Liz, and Juan J. Nieto. "Viability theory applied to discontinuous ordinary differential equations." In MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine. AIP, 2009. http://dx.doi.org/10.1063/1.3142928.

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Fatokun, Johnson O., and Samuel I. Okoro. "Two-Step Implicit Higher Order Numerical Integrator for Stiff Systems of Initial -Boundary Value Problems of Ordinary Differential Equations." In 2020 International Conference in Mathematics, Computer Engineering and Computer Science (ICMCECS). IEEE, 2020. http://dx.doi.org/10.1109/icmcecs47690.2020.246998.

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Venkataraman, P. "Explicit Solutions for Linear Partial Differential Equations Using Bezier Functions." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99227.

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Solutions in basic polynomial form are obtained for linear partial differential equations through the use of Bezier functions. The procedure is a direct extension of a similar technique employed for nonlinear boundary value problems defined by systems of ordinary differential equations. The Bezier functions define Bezier surfaces that are generated using a bipolynomial Bernstein basis function. The solution is identified through a standard design optimization technique. The set up is direct and involves minimizing the error in the residuals of the differential equations over the domain. No dom

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Kounchev, O., and G. Simeonov. "Neural Networks in Astrophysics and Plasma Physics: Transformers, PINNs, KANNs, and all that." In International Meeting on Data for Atomic and Molecular Processes in Plasmas: Advances in Standards and Modelling. Institute of Physics Belgrade, 2024. https://doi.org/10.69646/aob241106.

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Recently, new approaches have been developed for the numerical solution of problems in Dynamical systems and boundary value problems for Partial differential equations, which are based on the very general models of the type of Neural networks. Those of them who respect the physical background of the processes are called Physics Informed models (PINNs); their respect to the physics is expressed by means of the properly formulated loss functional which uses explicitly the differential equations and the boundary value conditions in a regularized fashion. Despite not excelling in terms of performa

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Pasic, Hajrudin, Robert L. Williams, and Chunwu Hui. "Numerical Solution for Manipulator Forward Dynamics BVPs." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/mech-5872.

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Abstract A new algorithm is presented for iterative solution of systems of nonlinear ordinary differential equations (ODEs) with any order for multibody dynamics and control problems. The collocation technique (based on the explicit fixed-point iteration scheme) may be used for solving both initial value problems (IVPs) and boundary value problems (BVPs). The BVP is solved by first transforming it into the IVP. If the Lipschitz constant is large and the algorithm diverges in a single (‘long’) domain, the domain is partitioned into a number of subdomains and the local solutions of the correspon

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Dubyk, Yaroslav, and Oleksii Ishchenko. "Application of the Williams-Wittrick Algorithm for Thin Shell Vibrations Problems." In ASME 2021 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/pvp2021-62063.

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Abstract This article presents adaptation of the Wittrick-Williams algorithm to calculate the natural vibration frequencies of cylindrical shells. Initially, the “algorithm” was proposed and used to find the natural frequencies of branched piping systems (trusses) in structural mechanics problems. We expanded it for shells, where a more difficult system of main differential equations is solved, with increasing calculation effort. The Wittrick-Williams algorithm was chosen to find vibration frequencies, because it is the only one exact solution for the transcendental eigenvalue problem. The “al

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