On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh-Reference-Cited by-同舟云学术

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On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh

Published:2015-07 Issue: Volume:45 Page:31-36
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Mohanty R.K.^ORCID,McKee Sean

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference19 articles.

1. Differential Equations;King,2003

2. Computational Methods in Ordinary Differential Equations;Lambert,1973

3. Numerical Methods for Ordinary Differential Systems: The Initial Value Problem;Lambert,1991

4. Numerical Solution of Differential Equations: Finite Difference and Finite Element Methods;Jain,2014

5. An unconditionally stable difference scheme for the one space dimensional linear hyperbolic equation;Mohanty;Appl. Math. Lett.,2004

Cited by 7 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. Spline-in-compression approximation of order of accuracy three (four) for second order non-linear IVPs on a graded mesh;MethodsX;2023-12

2. Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems;Journal of Mathematical Chemistry;2023-08-28

3. High-precision numerical method for 1D quasilinear hyperbolic equations on a time-graded mesh: application to Telegraph model equation;Soft Computing;2023-03-12

4. Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs;Journal of Mathematical Chemistry;2023-01-16

5. On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem;Computational and Applied Mathematics;2021-02

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