Generalized Fourier transform method for nonlinear anomalous diffusion equation

Jie Yao, Cameron L. Williams, Fazle Hussain, Donald J. Kouri

Research output: Contribution to journalArticlepeer-review

Abstract

The solution of a nonlinear diffusion equation is numerically investigated using the generalized Fourier transform method. This equation includes fractal dimensions and power-law dependence on the radial variable and on the diffusion function. The generalized Fourier transform approach is the extension of the Fourier transform method used for the normal diffusion equation. The feasibility of the approach is validated by comparing the numerical result with the exact solution for a point-source. The merit of the numerical method is that it provides a way to calculate anomalous diffusion with an arbitrary initial condition.

Original languageEnglish
JournalUnknown Journal
StatePublished - Jan 12 2017

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