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The solution of a nonlinear diffusion equation is numerically investigatedusing the generalized Fourier transform method. This equation includes fractaldimensions and power-law dependence on the radial variable and on the diffusionfunction. The generalized Fourier transform approach is the extension of theFourier transform method used for normal diffusion equation. The feasibility ofthe approach is validated by comparing the numerical result with the exactsolution for point-source. The merit of numerical method is that it provide away to calculate anomalous diffusion with an arbitrary initial condition.

Generalized Fourier transform method for nonlinear anomalous diffusion equation