Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2009) Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations. Chaos, Solitons and Fractals, 39. pp. 1928-1935. ISSN 0960-0779

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Abstract

In this paper, the homotopy-perturbation method (HPM) is employed to obtain approximate analytical solutions of the Klein–Gordon and sine-Gordon equations. An efficient way of choosing the initial approximation is presented. Comparisons with the exact solutions, the solutions obtained by the Adomian decomposition method (ADM) and the variational iteration method (VIM) show the potential of HPM in solving nonlinear partial differential equations.

Item Type:	Article (Journal)
Additional Information:	5807/6640
Uncontrolled Keywords:	homotopy-pertubation method (HPM), Klein-Gordon, sine-Gordon
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	29 Nov 2011 14:13
Last Modified:	29 Nov 2011 14:13
URI:	http://irep.iium.edu.my/id/eprint/6640

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