A Fourier method for the fractional diffusion equation describing sub-diffusion-Reference-Cited by-同舟云学术

A Fourier method for the fractional diffusion equation describing sub-diffusion

Published:2007-12 Issue:2 Volume:227 Page:886-897
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Chen Chang-Ming,Liu F.,Turner I.,Anh V.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference25 articles.

1. The random walk’s guide to anomalous diffusion: a fractional dynamics approach;Metzler;Phys. Rep.,2000

2. Fractional calculus: integral and differential equations of fractional order;Gorenflo,1997

3. Fractional relaxation–oscillation and fractional diffusion-wave phenomena;Mainardi;Chaos Soliton Fract.,1996

4. Fractional Differential Equations;Podlubny,1999

5. Time fractional diffusion: a discrete random walk approach;Gorenflo;Nonlinear Dyn.,2002

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