A Fully Discrete Galerkin Method for a Nonlinear Space-Fractional Diffusion Equation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-05
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The spatial transport process in fractal media is generally anomalous.
The space-fractional advection-diffusion equation can be used to characterize such a process.
In this paper, a fully discrete scheme is given for a type of nonlinear space-fractional anomalous advection-diffusion equation.
In the spatial direction, we use the finite element method, and in the temporal direction, we use the modified Crank-Nicolson approximation.
Here the fractional derivative indicates the Caputo derivative.
The error estimate for the fully discrete scheme is derived.
And the numerical examples are also included which are in line with the theoretical analysis.
American Psychological Association (APA)
Zheng, Yunying& Zhao, Zhengang. 2011. A Fully Discrete Galerkin Method for a Nonlinear Space-Fractional Diffusion Equation. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-451587
Modern Language Association (MLA)
Zheng, Yunying& Zhao, Zhengang. A Fully Discrete Galerkin Method for a Nonlinear Space-Fractional Diffusion Equation. Mathematical Problems in Engineering No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-451587
American Medical Association (AMA)
Zheng, Yunying& Zhao, Zhengang. A Fully Discrete Galerkin Method for a Nonlinear Space-Fractional Diffusion Equation. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-451587
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451587