Approximate analytical solution of a coupled system of fractional partial differential equations by Bernstein polynomials

Abstract

In this paper, we produce numerical solution for a coupled system of partial differential equations of fractional order (PDEFO) by the help of Bernstein polynomials. This method reduces the coupled system of PDEFO to a system of algebraic equations which is simple in handling and gives us good results. The accuracy of the results are examined by examples.