Solving Nonlinear Klein-Gordon Equation with a Quadratic Nonlinear term using Homotopy Analysis Method
الموضوعات :
H. جعفری
1
(
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
)
م. سعیدی
2
(
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
)
م. عرب فیروزجایی
3
(
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
)
الکلمات المفتاحية: Homotopy Analysis Method, Adomian decomposition method, KLEIN-GORDON, Partial Differential Equation, Homotopy Perturbation method,
ملخص المقالة :
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.
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