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Solving Inhomogeneous Wave Equation Cauchy Problems using Homotopy Perturbation Method

By Mohamed M. Mousa and Aidarkhan Kaltayev

Abstract

Abstract—In this paper, He’s homotopy perturbation method (HPM) is applied to spatial one and three spatial dimensional inhomogeneous wave equation Cauchy problems for obtaining exact solutions. HPM is used for analytic handling of these equations. The results reveal that the HPM is a very effective, convenient and quite accurate to such types of partial differential equations (PDEs). Keywords—Homotopy perturbation method; Exact solution; Cauchy problem; inhomogeneous wave equation. I

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.192.9126
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