Application of he’s homotopy perturbation method for solving the Cauchy reaction-diffusion problem. (English) Zbl 1165.65398

Yıldırım, Ahmet

Comput. Math. Appl. 57, No. 4, 612-618 (2009).

Summary: 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.

MSC:

65M99

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Keywords:

Cauchy reaction-diffusion problem; homotopy perturbation method; time-dependent partial differential equation

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