Anomalous diffusion in a variable area whose boundary moves with a constant speed

Xicheng Li

School of Mathematical Science, University of Jinan, Jinan, P.R. China.

DOI: 10.4236/ojapps.2012.24B042                

Abstract

In this paper, we study a space-fractional anomalous diffusion in a variable area. The moving boundary is assumed moving with constant speed. The numerical scheme was present by changing the moving boundary to a fixed one. The steady-state approximation was also given to show the properties of the diffusion process.

Keywords

fractional calculus; moving boundary; steady state approximation; anomalous diffusion

Conflicts of Interest

The authors declare no conflicts of interest.

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