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NUMERICAL SOLUTIONS OF WAVE EQUATIONS SUBJECT TO AN INTEGRAL CONSERVATION CONDITION BY HE'S HOMOTOPY PERTURBATION METHOD

AHMET YILDIRIM

Ege University, Department of Mathematics, 35100 Bornova – İzmir, Turkey

Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA

Corresponding author.

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and

YAǦMUR GÜLKANAT

Ege University, Department of Mathematics, 35100 Bornova – İzmir, Turkey

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https://doi.org/10.1142/S0217979211059425Cited by:1 (Source: Crossref)

Abstract

The aim of this paper is to solve one-dimensional wave equations that combine classical and integral boundary conditions using the homotopy perturbation method (HPM). The studied equations are changed into direct problems easy to be handled by the homotopy perturbation method. Several examples are given and the results are compared with exact solutions, revealing effectiveness and simplicity of the method.

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