Journal of Applied Mathematics
Volume 2013 (2013), Article ID 648595, 8 pages
Research Article

A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations

School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China

Received 15 December 2012; Revised 2 February 2013; Accepted 21 February 2013

Academic Editor: Morteza Rafei

Copyright © 2013 Lijuan Su and Pei Cheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Fractional-order diffusion equations are viewed as generalizations of classical diffusion equations, treating super-diffusive flow processes. In this paper, in order to solve the fractional advection-diffusion equation, the fractional characteristic finite difference method is presented, which is based on the method of characteristics (MOC) and fractional finite difference (FD) procedures. The stability, consistency, convergence, and error estimate of the method are obtained. An example is also given to illustrate the applicability of theoretical results.