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An Implicit Rational Method for Solution of Second Order Initial Value Problems in Ordinary Differential Equations

by P. K. Pandey
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 57 - Number 2
Year of Publication: 2012
Authors: P. K. Pandey
10.5120/9088-2847

P. K. Pandey . An Implicit Rational Method for Solution of Second Order Initial Value Problems in Ordinary Differential Equations. International Journal of Computer Applications. 57, 2 ( November 2012), 30-33. DOI=10.5120/9088-2847

@article{ 10.5120/9088-2847,
author = { P. K. Pandey },
title = { An Implicit Rational Method for Solution of Second Order Initial Value Problems in Ordinary Differential Equations },
journal = { International Journal of Computer Applications },
issue_date = { November 2012 },
volume = { 57 },
number = { 2 },
month = { November },
year = { 2012 },
issn = { 0975-8887 },
pages = { 30-33 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume57/number2/9088-2847/ },
doi = { 10.5120/9088-2847 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:59:25.949448+05:30
%A P. K. Pandey
%T An Implicit Rational Method for Solution of Second Order Initial Value Problems in Ordinary Differential Equations
%J International Journal of Computer Applications
%@ 0975-8887
%V 57
%N 2
%P 30-33
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this article, we report an implicit rational method for solution of second order initial value problems in ordinary differential equation. We have presented local truncation error and stability property for the proposed method. We observed that the method has cubic rate of convergenceandA-stable. Numerical results for linear and nonlinear problems presented. These results confirm the accuracy, efficiency and effectiveness of the rational method.

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Index Terms

Computer Science
Information Sciences

Keywords

Implicit method Rational method Non-standard method Initial value problems Ordinary differential equations Cubic order convergence

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