SOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD

SOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD

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In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy analysis method. The results reveal that the...

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Bibliographic Details
Main Authors: H. Jafari, M. Saeidy, M. Arab Firoozjaee
Format: Article
Language:English
Published: Islamic Azad University, Rasht Branch 2010-07-01
Series:Iranian Journal of Optimization
Subjects:
KLEIN-GORDON
Homotopy analysis method
Adomian decomposition method
partial differential equation
Homotopy perturbation method
Online Access:http://ijo.iaurasht.ac.ir/article_513246_32ab92c829d3d613ad724936c0b6f8e3.pdf
Description
Summary:In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy analysis method. The results reveal that the proposed method is very effective and simple.
ISSN:2588-5723
2008-5427

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