The linear two-point boundary-value problem on an infinite interval

Author:

Robertson T. N.

Abstract

A numerical method, using finite-difference approximations to the second-order differential equation, is given which tests the suitability of the finite point chosen to represent infinity before computing the numerical solution. The theory is illustrated with examples and suggestions for further applications of the method are presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference6 articles.

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. Solution of the Established Redlich–Kister Finite Difference for Two-Point Boundary Value Problems Using 4EGMKSOR Method;Lecture Notes in Electrical Engineering;2022

2. High—Order Hosoya Polynomials with Collocation Approach for the Solution of Two—Point Boundary Value Problems;Studies in Systems, Decision and Control;2021-09-18

3. Redlich-Kister Finite Difference Solution for Solving Two-Point Boundary Value Problems by using Ksor Iteration Family;Advances in Science, Technology and Engineering Systems Journal;2021-02

4. Redlich-Kister finite difference solution for two-point boundary value problem by using MKSOR iteration;PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2020 (MATHTECH 2020): Sustainable Development of Mathematics & Mathematics in Sustainability Revolution;2021

5. A fixed point iteration method using Green's functions for the solution of nonlinear boundary value problems over semi-Infinite intervals;International Journal of Computer Mathematics;2019-05-24

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