A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation

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...

Full description

Bibliographic Details
Main Authors: Yunying Zheng, Changpin Li, Zhengang Zhao
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2010/279038
id doaj-7fd552e5c175449a8e0c147102ac61e0
record_format Article
spelling 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 AT yunyingzheng afullydiscretediscontinuousgalerkinmethodfornonlinearfractionalfokkerplanckequation
AT changpinli afullydiscretediscontinuousgalerkinmethodfornonlinearfractionalfokkerplanckequation
AT zhengangzhao afullydiscretediscontinuousgalerkinmethodfornonlinearfractionalfokkerplanckequation
AT yunyingzheng fullydiscretediscontinuousgalerkinmethodfornonlinearfractionalfokkerplanckequation
AT changpinli fullydiscretediscontinuousgalerkinmethodfornonlinearfractionalfokkerplanckequation
AT zhengangzhao fullydiscretediscontinuousgalerkinmethodfornonlinearfractionalfokkerplanckequation
_version_ 1725618628940791808

Similar Items