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Zbl 1202.65157
Zheng, Yunying; Li, Changpin; Zhao, Zhengang
A fully discrete discontinuous Galerkin method for nonlinear fractional Fokker-Planck equation.
(English)
[J] Math. Probl. Eng. 2010, Article ID 279038, 26 p. (2010). ISSN 1024-123X; ISSN 1563-5147/e

Summary: The fractional Fokker-Planck equation is often used to characterize anomalous diffusion. In this paper, a fully discrete approximation for the nonlinear spatial fractional Fokker-Planck equation is given, where the discontinuous Galerkin finite element approach is utilized in the time domain and the Galerkin finite element approach is utilized in the spatial domain. An a priori error estimate is derived explicitly. Numerical examples are presented which are in line with the theoretical convergence rate.
MSC 2000:
*65N30 Finite numerical methods (BVP of PDE)
35Q84
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