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Chowdhury, M. S. H.; Hashim, I.

Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations. (English) Zbl 1197.65164

Chaos Solitons Fractals 39, No. 4, 1928-1935 (2009).
Summary: 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.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

Cited in 37 Documents

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35L71 Second-order semilinear hyperbolic equations
35A35 Theoretical approximation in context of PDEs
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\textit{M. S. H. Chowdhury} and \textit{I. Hashim}, Chaos Solitons Fractals 39, No. 4, 1928--1935 (2009; Zbl 1197.65164)
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References:

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