Solution of two point boundary value problems, a numerical approach: parametric difference method-Reference-Cited by-同舟云学术

Solution of two point boundary value problems, a numerical approach: parametric difference method

Published:2018-07-01 Issue:2 Volume:3 Page:649-658
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Pandey P.K.¹

Affiliation:

1. Department of Mathematics, Dyal Singh College (Univ. of Delhi) , Lodhi Road , New Delhi , 110003 , India

Abstract

Abstract In this article, we have presented a parametric finite difference method, a numerical technique for the solution of two point boundary value problems in ordinary differential equations with mixed boundary conditions. We have tested proposed method for the numerical solution of a model problem. The numerical results obtained for the model problem with constructed exact solution depends on the choice of parameters. The computed result of a model problem suggests that proposed method is efficient.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/AMNS.2018.2.00049

Reference13 articles.

1. Filipov, S. M., Gospodinov, I. D., Farag***ó***, I., Shooting-Projection Method for Two-Point Boundary Value Problems. arXiv:1406.2615v4 [math.NA].

2. Conte, D., D’Ambrosio, R. and Paternoster, B,, Advances on Collocation Based Numerical Methods for Ordinary Differential Equations and Volterra Integral Equations (Recent Advances in Computational and Applied Mathematics T.E. Simos (ed.)). Springer Dordrecht Heidelberg London New York (2010).

3. Ascher, U., Mattheij, R. M. M. and Russell, R. D., Numerical Solution of Boundary Value Problems for Ordinary Differential Equations. Prentice-Hall, Englewood Cliffs, NJ (1988).

4. Na, T. Y., Computational Methods In Engineering Boundary Value Problems. Mathematics In Science And Engineering Vol. 145, Academic Press, Inc. 111 Fifth Avenue, New York, New York 10003 (1979).

5. Lambert, J. D., Numerical Methods for Ordinary Differential Systems . John Wiley, England (1991).

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Neuron analysis through the swarming procedures for the singular two-point boundary value problems arising in the theory of thermal explosion;The European Physical Journal Plus;2022-05-30

2. PARAMETER ESTIMATION OF NONLINEAR OUTPUT ERROR SYSTEM UNDER VARIATIONAL BAYESIAN METHOD BASED ON PROBABILISTIC GRAPHICAL MODEL;Fractals;2022-01-20

3. RESEARCH ON STOCHASTIC FUZZY DIFFERENTIAL EQUATIONS IN MULTIPLE BLURRED IMAGE REPAIR MODELS;Fractals;2022-01-20

4. Shooting-projection method for a small object moving under the influence of a force;Journal of Physics: Conference Series;2021-09-01

5. A High-Order Efficient Optimised Global Hybrid Method for Singular Two-Point Boundary Value Problems;East Asian Journal on Applied Mathematics;2021-06