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

M. S.H. Chowdhury; I. Hashim

doi:10.1016/j.chaos.2007.06.091

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

M. S.H. Chowdhury
, I. Hashim

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

92 Scopus citations

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.

Original language	English
Pages (from-to)	1928-1935
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	39
Issue number	4
DOIs	https://doi.org/10.1016/j.chaos.2007.06.091
State	Published - 28 Feb 2009
Externally published	Yes

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10.1016/j.chaos.2007.06.091

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title = "Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations",

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.",

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AU - Hashim, I.

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N2 - 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.

AB - 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.

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DO - 10.1016/j.chaos.2007.06.091

M3 - Article

AN - SCOPUS:63449096068

SN - 0960-0779

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4

ER -

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

Abstract

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