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A nonlinear computational method for the solution of initial value problems for ordinary differential equations

by Ea Ibijola, W. Sinkala
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 47 - Number 11
Year of Publication: 2012
Authors: Ea Ibijola, W. Sinkala
10.5120/7231-0123

Ea Ibijola, W. Sinkala . A nonlinear computational method for the solution of initial value problems for ordinary differential equations. International Journal of Computer Applications. 47, 11 ( June 2012), 17-22. DOI=10.5120/7231-0123

@article{ 10.5120/7231-0123,
author = { Ea Ibijola, W. Sinkala },
title = { A nonlinear computational method for the solution of initial value problems for ordinary differential equations },
journal = { International Journal of Computer Applications },
issue_date = { June 2012 },
volume = { 47 },
number = { 11 },
month = { June },
year = { 2012 },
issn = { 0975-8887 },
pages = { 17-22 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume47/number11/7231-0123/ },
doi = { 10.5120/7231-0123 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:41:35.094228+05:30
%A Ea Ibijola
%A W. Sinkala
%T A nonlinear computational method for the solution of initial value problems for ordinary differential equations
%J International Journal of Computer Applications
%@ 0975-8887
%V 47
%N 11
%P 17-22
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

It is a documented fact that mathematical formulation of physical phenomena in many diverse fields such as electrical engineering, control theory, medicine and even in biology often leads to initial value problems of the form , . In this paper, we propose a one-step numerical scheme that can solve some of these problems. The proposed method compares very well with other known methods. The efficiency of the method is examined in terms of consistency, stability and convergence. We also construct the Region of Absolute Stability (RAS) of the scheme.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Ordinary Differential Equation Initial Value Problem (ivp) Nonlinear Method Absolute Stability Consistency

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