A note on the convergence of the Zakharov-Kuznetsov equation by homotopy analysis method
Subject Areas : Partial differential equations
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)
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.