A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation
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 time domain and the Gal...
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2010-01-01
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2010/279038 |
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doaj-7fd552e5c175449a8e0c147102ac61e02020-11-24T23:07:21ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472010-01-01201010.1155/2010/279038279038A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck EquationYunying Zheng0Changpin Li1Zhengang Zhao2Department of Mathematics, Shanghai University, Shanghai 200444, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaThe 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 time domain and the Galerkin finite element approach is utilized in spatial domain. The priori error estimate is derived in detail. Numerical examples are presented which are inline with the theoretical convergence rate.http://dx.doi.org/10.1155/2010/279038 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yunying Zheng Changpin Li Zhengang Zhao |
spellingShingle |
Yunying Zheng Changpin Li Zhengang Zhao A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation Mathematical Problems in Engineering |
author_facet |
Yunying Zheng Changpin Li Zhengang Zhao |
author_sort |
Yunying Zheng |
title |
A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation |
title_short |
A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation |
title_full |
A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation |
title_fullStr |
A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation |
title_full_unstemmed |
A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation |
title_sort |
fully discrete discontinuous galerkin method for nonlinear fractional fokker-planck equation |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2010-01-01 |
description |
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 time domain and the Galerkin finite element approach is utilized in spatial domain. The priori error estimate is derived in detail. Numerical examples are presented which are inline with the theoretical convergence rate. |
url |
http://dx.doi.org/10.1155/2010/279038 |
work_keys_str_mv |
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1725618628940791808 |