The Modified New Iterative Method for Solving Linear and Nonlinear Klein-Gordon Equations
نویسنده
چکیده
Abstract In [1] Varsha and Jaferi proposed an iterative method for solving nonlinear functional equations, viz. nonlinear Voltera integral equations, algebraic equations and system of ordinary differential equations. Then Sachin and Varsha [2] implemented this method to solve linear and nonlinear partial differential equations of integer and fractional order. The aim of this article is to propose an efficient modification of the iterative method given in [2] for finding the exact solutions of linear and nonlinear Klein Gordon equations. The proposed modification is easy to use and we obtained excellent performance in comparison with the classical methods of Adomian decompositon method [3–7], variational iteration method [7–11] and homotopy perturbation method [12] that have been traditionally used for finding the solution of Klein-Gordon equation.
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