A High-Accuracy MOCFD Method for Solving Fractional Advection-Diffusion Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Fractional-order diffusion equations are viewed as generalizations of classical diffusion equations, treating super-diffusive flow processes.
In this paper, in order to solve the fractional advection-diffusion equation, the fractional characteristic finite difference method is presented, which is based on the method of characteristics (MOC) and fractional finite difference (FD) procedures.
The stability, consistency, convergence, and error estimate of the method are obtained.
An example is also given to illustrate the applicability of theoretical results.
American Psychological Association (APA)
Su, Lijuan& Cheng, Pei. 2013. A High-Accuracy MOCFD Method for Solving Fractional Advection-Diffusion Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-488049
Modern Language Association (MLA)
Su, Lijuan& Cheng, Pei. A High-Accuracy MOCFD Method for Solving Fractional Advection-Diffusion Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-488049
American Medical Association (AMA)
Su, Lijuan& Cheng, Pei. A High-Accuracy MOCFD Method for Solving Fractional Advection-Diffusion Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-488049
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488049