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

Subject Areas : Partial differential equations

A. Fallahzadeh ¹ , M. A. Fariborzi Araghi ²

1 - Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185.768, Tehran, Iran
2 - Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185.768, Tehran, Iran

Received: 2014-05-21 Accepted : 2014-08-04 Published : 2014-03-01

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

Abstract :

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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