Application of He's homotopy perturbation method for solving the Cauchy reaction-diffusion problem

Authors:
Ahmet Yıldırım
Affiliations:
Department of Mathematics, Science Faculty, Ege University, 35100 Bornova-İzmir, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 3
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Study of convergence of Homotopy perturbation method for two-dimensional linear Volterra integral equations of the first kind

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Abstract

In this paper, the solution of Cauchy reaction-diffusion problem is presented by means of the homotopy perturbation method. Reaction-diffusion equations have special importance in engineering and sciences and constitute a good model for many systems in various fields. Application of homotopy perturbation method to this problem shows the rapid convergence of the sequence constructed by this method to the exact solution.