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THE CONVERGENCE OF HOMOTOPY METHODS FOR NONLINEAR KLEIN-GORDON EQUATION  

Behzadi, Shadan Sadigh (Young Researchers Club, Islamic Azad University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1227-1237 More about this Journal
Abstract
In this paper, a Klein-Gordon equation is solved by using the homotopy analysis method (HAM), homotopy perturbation method (HPM) and modified homotopy perturbation method (MHPM). The approximation solution of this equation is calculated in the form of series which its components are computed easily. The uniqueness of the solution and the convergence of the proposed methods are proved. The accuracy of these methods are compared by solving an example.
Keywords
Klein-Gordon equation; Homotopy analysis method (HAM); Homotopy perturbation method (HPM); Modified homotopy perturbation method (MHPM);
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