Solving Nonlinear Klein-Gordon Equation with a Quadratic Nonlinear term using Homotopy Analysis Method

2009/04/07 by Hossein Jafari, Jafari, H., M. Saeidy +3
Mathematics · Physics and Astronomy · #Adomian decomposition method #Fractional Differential Equations Solutions #Homotopy Analysis Method #Homotopy Perturbation method #Iterative Methods for Nonlinear Equations #KLEIN-GORDON #Nonlinear Waves and Solitons #Partial Differential Equation

paper · doi:10.82521/ijo.2010.1018922

openalex publication_date 2009/04/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/07

Abstract

In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy analysis method. The results reveal that the proposed method is very effective and simple.

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