An efficient numerical method based on Chelyshkov operation matrix for solving a type of time-space fractional reaction diffusion equation

In this article, a numerical method based on Chelyshkov operation matrix is built to investigate a time-space fractional reaction diffusion model. First of all, we transform the solution of time-space fractional reaction diffusion equation into the solution of a linear system by using operational matrix method. Next, in order to validate the accuracy of this proposed method, error analysis is performed. At last, three excellent numerical examples are also provided to demonstrate the effectiveness and feasibility of the method.