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Analytical solution of a fractional diffusion equation by Adomian decomposition method. (English) Zbl 1089.65108
Summary: This paper presents an analytical solution of a fractional diffusion equation by the Adomian decomposition method. By using an initial value, the explicit solution of the equation is presented in closed form and then its numerical solution represented graphically. The present method performs extremely well in terms of efficiency and simplicity.
MSC:
65M70Spectral, collocation and related methods (IVP of PDE)
26A33Fractional derivatives and integrals (real functions)
35K55Nonlinear parabolic equations