Abstract
We apply the proposed method (NHPSTM) which is the combination of new homotopy perturbation methodand Sumudu transform to solve analytical linear and nonlinear KleinGordon equations. The proposed method finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that the proposed technique solves nonlinear problems without using Adomian’s polynomials can be considered as a clear advantage of this new method over the decomposition method. Obtained results reveal that the proposed method is very efficient, simple and can be applied to other nonlinear problems arising in mathematical physics and engineering.
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