Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations

Abstract

The aim of this paper isto approximate the solution offractionalparabolicpartial differential equations using two numerical methods which areBellman's method (make use of Lagrange interpolation formula) and the methodof lines. Fractional Parabolic partial differential equations are transformed to asystem of first order ordinary differential equations that are solved using a Runge-Kutta method. An illustrative example using thesemethodsare also presented andcompared with the exact solution.