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On the convergence of the VHPM for the Zakharove-Kuznetsov equations | ||
| Iranian Journal of Science | ||
| مقاله 4، دوره 36، Issue 3.1، آذر 2012، صفحه 351-358 اصل مقاله (123.95 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2014.2086 | ||
| نویسندگان | ||
| M. Matinfar* ؛ M. Ghasemi؛ M. Saeidy | ||
| Department of Mathematics, Faculty of Sciences, Mazandaran University, P.O. Box 47415-95447, Babolsar, Iran | ||
| چکیده | ||
| In this paper, the variational homotopy perturbation method (VHPM) and its convergence is adopted for the Zakharove-Kuznetsov equations (ZK-equations). The aim of this paper is to present an efficient and reliable treatment of the VHPM for the nonlinear partial differential equations and show that this method is convergent. The convergence of the applied method is approved using the method of majorants from Cauchy-Kowalevskaya theorem of differential equations with analytical vector field. | ||
| کلیدواژهها | ||
| Variational homotopy perturbation method؛ convergence؛ Zakharove-Kuznetsov equation | ||
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