A Numerical Study of Cauchy Reaction-Diffusion Equation
نویسندگان
چکیده
Abstract: In this paper, new algorithm of homotopy analysis method is successfully applied to obtain the approximate analytical solutions of the Cauchy reaction-diffusion equation. Reaction-diffusion equations have special importance in engineering and sciences and constitute a good model for many systems in various fields. Application of new algorithm of homotopy analysis method to this problem shows the rapid convergence of the sequence constructed by this method to the exact solution. The solutions of the problem for different generalized particular cases are presented graphically.
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