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

M. S H Chowdhury, Ishak Hashim

Research output: Contribution to journalArticle

51 Citations (Scopus)

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 languageEnglish
Pages (from-to)1928-1935
Number of pages8
JournalChaos, Solitons and Fractals
Volume39
Issue number4
DOIs
Publication statusPublished - 28 Feb 2009

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Sine-Gordon Equation
Homotopy Perturbation Method
Variational Iteration Method
Adomian Decomposition Method
Nonlinear Partial Differential Equations
Analytical Solution
Exact Solution
Approximation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations. / Chowdhury, M. S H; Hashim, Ishak.

In: Chaos, Solitons and Fractals, Vol. 39, No. 4, 28.02.2009, p. 1928-1935.

Research output: Contribution to journalArticle

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