Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition. (English) Zbl 1102.65135

Jafari, Hossein; Daftardar-Gejji, Varsha

Appl. Math. Comput. 180, No. 2, 488-497 (2006).

Summary: The Adomian decomposition method is used to obtain solutions of linear/nonlinear fractional diffusion and wave equations. Some illustrative examples are presented.

MSC:

65R20	Numerical methods for integral equations
45K05	Integro-partial differential equations
26A33	Fractional derivatives and integrals

Keywords:

fractional partial differential equation; fractional diffusion equation; fractional wave equation; Adomian polynomials; caputo fractional derivative; numerical examples

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