On approximate solutions for the time-fractional reaction-diffusion equation of Fisher type

International Journal of Physical Sciences

Najeeb Alam Khan¹ 

关键词: Fisher equation;    diffusion;    reaction;    fractional partial differential equations.;   

DOI  :  10.5897/IJPS11.181

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, the homotopy perturbation method (HPM) is employed to obtain approximate analytical solutions of the time-fractional reaction-diffusion equation of the Fisher type. The method can easily be applied to many problems and is capable of reducing the size of computational work. The fractional derivative is described in the Caputo sense. The analytical/numerical results are compared with existing analytic solutions obtained by Adomian decomposition method (ADM) and differential transformation method (DTM) and the outcomes confirm that the scheme yields accurate and excellent results even when few components are used.

【 授权许可】

CC BY