A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-20
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A weighted average finite difference method for solving the two-sided space-fractional convection-diffusion equation is given, which is an extension of the weighted average method for ordinary convection-diffusion equations.
Stability, consistency, and convergence of the new method are analyzed.
A simple and accurate stability criterion valid for this method, arbitrary weighted factor, and arbitrary fractional derivative is given.
Some numerical examples with known exact solutions are provided.
American Psychological Association (APA)
Su, Lijuan& Cheng, Pei. 2013. A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-447989
Modern Language Association (MLA)
Su, Lijuan& Cheng, Pei. A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation. Advances in Mathematical Physics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-447989
American Medical Association (AMA)
Su, Lijuan& Cheng, Pei. A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-447989
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447989