Solution of Some Systems of Nonlinear Partial Differential Equations by Variational Iteration Method

This paper applies the variational iteration method to solve two systems of nonlinear partial differential equations, numerically and/or analytically. Two examples are given to illustrate the accuracy and effectiveness of the method. Comparison with Adomian decomposition method reveals that the meth...

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Bibliographic Details
Published inJournal of algorithms & computational technology Vol. 4; no. 1; pp. 1 - 14
Main Authors Darvishi, Mohammad Taghi, Khani, Farzad, Hamedi-Nezhad, Somayeh
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.03.2010
SAGE Publishing
Subjects
Algorithms
Computation
Decomposition
Iterative methods
Mathematical analysis
Mathematical models
Nonlinear differential equations
Partial differential equations
Variational iteration method
Higher-dimensional Burgers equation
Nonlinear equations
AMS Subject Classifications: 65M99
Integro-differential reaction diffusion
35G25
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Summary:This paper applies the variational iteration method to solve two systems of nonlinear partial differential equations, numerically and/or analytically. Two examples are given to illustrate the accuracy and effectiveness of the method. Comparison with Adomian decomposition method reveals that the method is easier to be implemented.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1748-3018
1748-3026
DOI:10.1260/1748-3018.4.1.1