Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method

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

doi:10.1016/j.amc.2010.04.001

Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method

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

Penn State York

Research output: Contribution to journal › Article › peer-review

84 Scopus citations

Abstract

We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. To this effect 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.

Original language	English (US)
Pages (from-to)	2898-2909
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	216
Issue number	10
DOIs	https://doi.org/10.1016/j.amc.2010.04.001
State	Published - Jul 15 2010

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2010.04.001

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abstract = "We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. To this effect 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.",

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AU - Idrees, M.

AU - Siddiqui, A. M.

AU - Ansari, A. R.

PY - 2010/7/15

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AB - We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. To this effect 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.

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Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method

Abstract

All Science Journal Classification (ASJC) codes

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