论文信息 - An approximate analytical solution of Nonlinear Fractional Diffusion Equation

An approximate analytical solution of Nonlinear Fractional Diffusion Equation

The article presents the approximate analytical solution of a nonlinear diffusion equation with fractional time derivative α(0 < α < 1) and with the diffusion term as u n (n 0) . By using initial value, the explicit solutions of the equation are solved with a powerful mathematical tool like Adomian Decomposition Method. The speed of convergence of the method based on the properties of the convergent series which is successfully derived in this article shows the efficiency, simplicity and reliability of the method for solving nonlinear problem. Fast and slow diffusion for different particular cases are presented graphically.

P. Gupta | Subir Das | Pradyumna Ghosh

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