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AN ADOMIAN DECOMPOSITION METHOD FOR SOLVING LIÉNARD EQUATIONS IN GENERAL FORM

Part of: Numerical analysis: Ordinary differential equations

Published online by Cambridge University Press:  05 March 2010

M. NILI AHMADABADI  and
F. M. MAALEK GHAINI
M. NILI AHMADABADI*
Affiliation:
Department of Mathematics, Yazd University, Yazd 89195-741, Iran (email: mnili@yazduni.ac.ir, maalek@yazduni.ac.ir)
F. M. MAALEK GHAINI
Affiliation:
Department of Mathematics, Yazd University, Yazd 89195-741, Iran (email: mnili@yazduni.ac.ir, maalek@yazduni.ac.ir)
*
✉For correspondence; e-mail: mnili@yazduni.ac.ir
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Abstract

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In this study, Liénard equations in their general form are treated using the Adomian decomposition method. The special structure of the Liénard equation is exploited to obtain a numerically efficient algorithm suitable for solution by a computer program.

Keywords

Liénard equationnumerical solutionsAdomian decomposition methodAdomian polynomials

MSC classification

Secondary: 65L05: Initial value problems
Type
Research Article
Information
The ANZIAM Journal , Volume 51 , Issue 2 , October 2009 , pp. 302 - 308
Copyright
Copyright © Australian Mathematical Society 2010

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