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Multivariate Padé approximation for solving nonlinear partial differential equations of fractional order. (English) Zbl 1275.65088
Summary: Two techniques are implemented, the Adomian decomposition method (ADM) and the multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense. First, the fractional differential equation is solved and converted to a power series by the Adomian decomposition method (ADM), then the power series solution of the fractional differential equation is put into multivariate Padé series. Finally, numerical results are compared and presented in tables and figures.

##### MSC:
 65N99 Numerical methods for partial differential equations, boundary value problems 35C10 Series solutions to PDEs 35R11 Fractional partial differential equations 41A21 Padé approximation 35G20 Nonlinear higher-order PDEs
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##### References:
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