Analytical solution of a fractional diffusion equation by Adomian decomposition method

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摘要

This paper presents an analytical solution of a fractional diffusion equation by Adomian decomposition method. By using an initial value, the explicit solution of the equation has been presented in the closed form and then its numerical solution has been represented graphically. The present method performs extremely well in terms of efficiency and simplicity.

论文关键词:Adomian decomposition method,Fractional derivative,Fractional differential equation,Fractional diffusion equation

论文评审过程:Available online 17 June 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.04.082