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Iqbal, S.; Idrees, M.; Siddiqui, A. M.; Ansari, A. R.

Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method. (English) Zbl 1193.35190

Appl. Math. Comput. 216, No. 10, 2898-2909 (2010).
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.

Cited in 28 Documents

MSC:

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

Keywords:

optimal homotopy asymptotic method; Klein-Gordon equations; partial differential equations
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\textit{S. Iqbal} et al., Appl. Math. Comput. 216, No. 10, 2898--2909 (2010; Zbl 1193.35190)
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References:

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