Sinc-Muntz-Legendre Collocation Method for Solving a Class of Nonlinear Fractional Partial Differential Equations

In this paper, we present a numerical method for solving a class of nonlinear fractional partial differential equations (FPDEs). The method consists of expanding the required approximate solution as the elements of Sinc functions along the space direction and fractional Muntz-Legendre polynomials for the time variable. By using these functions, we approximate the unknown functions. The proposed approximation together with collocation method reduce the solution of the FPDEs to the solution of a system of nonlinear algebraic equations. Finally, some numerical examples show the validity and accuracy of the present method.