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Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method. (English) Zbl 1193.35190
Summary: We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. For this, we consider the homogeneous, non-homogeneous, linear and nonlinear Klein-Gordon equations with boundary conditions. The results reveal that the method is explicit, effective, and easy to use.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35A35 Theoretical approximation in context of PDEs
35A30 Geometric theory, characteristics, transformations in context of PDEs
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