Comparing Numerical Methods for Solving Time-Fractional Reaction-Diffusion Equations

Multivariate Pade approximation (MPA) is applied to numerically approximate the solutions of time-fractional reaction-diffusion equations, and the numerical results are compared with solutions obtained by the generalized differential transform method (GDTM). The fractional derivatives are described in the Caputo sense. Two illustrative examples are given to demonstrate the effectiveness of the multivariate Pade approximation (MPA). The results reveal that the multivariate Pade approximation (MPA) is very effective and convenient for solving time-fractional reaction-diffusion equations.