A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation
Joint Authors
Li, Changpin
Zheng, Yunying
Zhao, Zhengang
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-15
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zheng, Yunying& Li, Changpin& Zhao, Zhengang. 2010. A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-26.
https://search.emarefa.net/detail/BIM-459793
Modern Language Association (MLA)
Zheng, Yunying…[et al.]. A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation. Mathematical Problems in Engineering No. 2010 (2010), pp.1-26.
https://search.emarefa.net/detail/BIM-459793
American Medical Association (AMA)
Zheng, Yunying& Li, Changpin& Zhao, Zhengang. A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-26.
https://search.emarefa.net/detail/BIM-459793
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459793
