Application of He’s homotopy perturbation method for solving the Cauchy reaction–diffusion problem

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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.

Keywords

Cauchy reaction–diffusion problem
Homotopy perturbation method
Time-dependent partial differential equation

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