Solving Nonlinear Klein-Gordon Equation with a Quadratic Nonlinear term using Homotopy Analysis Method

Iranian Journal of Optimization

مقاله 5، دوره 2، شماره 2، مهر 2010، صفحه 130-138   

نوع مقاله: Research Paper

نویسندگان

H. Jafari^* ؛ M. Saeidy؛ M. Arab Firoozjaee

Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.

چکیده

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.

کلیدواژه‌ها

KLEIN-GORDON؛ Homotopy Analysis Method؛ Adomian decomposition method؛ Partial Differential Equation؛ Homotopy Perturbation method

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