Solving time-fractional reaction–diffusion equation by reduced differential transform method

Abstract

In this article, a novel numerical method is proposed for nonlinear partial differential equations with time fractional derivatives. The aim of the presented paper is to investigate the application of reduced differential transform method in order to solve the fractional reaction–diffusion equation with ecological parameters. This method needs less work in comparison with the traditional methods and decreases considerable volume of calculation. Comparing the methodology with some other known techniques shows that the present approach is effective and powerful.