Walsh function for solving fractional partial differential equation

In this article, we extended an efficient computational method based on Walsh operational matrix to find an approximate solution of fractional diffusion equations, First, we present the fractional Walsh operational matrix of integration and differentiation. Then by applying this method, the Fractional diffusion equations are reduced into a system of an algebraic equation. The benefits of this method are the low cost of setting up the equations without applying any projection method such as collocation, Galerkin, etc. The results show that the method is very accurate and efficient.

Walsh function for solving fractional partial differential equation Keywords:

Fractional diffusion equations , Operational matrix , Walsh functions , Block-pulse functions , Fractional calculus