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Comparing numerical methods for solving time-fractional reaction-diffusion equations. (English) Zbl 1250.65128
Summary: Multivariate Padé 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 Padé approximation (MPA). The results reveal that the multivariate Padé approximation (MPA) is very effective and convenient for solving time-fractional reaction-diffusion equations.
65M99Numerical methods for IVP of PDE
35R11Fractional partial differential equations
35K57Reaction-diffusion equations