A note on the convergence of the Zakharov-Kuznetsov equation by homotopy analysis method

الموضوعات :

A. Fallahzadeh ¹ (Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185.768, Tehran, Iran)
M. A. Fariborzi Araghi ² (Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185.768, Tehran, Iran)

تاريخ الإرسال : 22 الأربعاء , رجب, 1435 تاريخ التأكيد : 08 الإثنين , شوال, 1435 تاريخ الإصدار : 29 السبت , ربيع الثاني, 1435

الکلمات المفتاحية: Homotopy Analysis Method, Zakharov-Kuznetsov equation, convergence, recursive method, Partial Differential Equation,

ملخص المقالة :

In this paper, the convergence of Zakharov-Kuznetsov (ZK) equation by homotopy analysis method (HAM) is investigated. A theorem is proved to guarantee the convergence of HAM and to find the series solution of this equation via a reliable algorithm.

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