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A Finite Element Method for the Multiterm Time-Space Riesz Fractional Advection-Diffusion Equations in Finite Domain
Joint Authors
Zhao, Jingjun
Xiao, Jingyu
Xu, Yang
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-15
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We present an effective finite element method (FEM) for the multiterm time-space Riesz fractional advection-diffusion equations (MT-TS-RFADEs).
We obtain the weak formulation of MT-TS-RFADEs and prove the existence and uniqueness of weak solution by the Lax-Milgram theorem.
For multiterm time discretization, we use the Diethelm fractional backward finite difference method based on quadrature.
For spatial discretization, we show the details of an FEM for such MT-TS-RFADEs.
Then, stability and convergence of such numerical method are proved, and some numerical examples are given to match well with the main conclusions.
American Psychological Association (APA)
Zhao, Jingjun& Xiao, Jingyu& Xu, Yang. 2013. A Finite Element Method for the Multiterm Time-Space Riesz Fractional Advection-Diffusion Equations in Finite Domain. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-504719
Modern Language Association (MLA)
Zhao, Jingjun…[et al.]. A Finite Element Method for the Multiterm Time-Space Riesz Fractional Advection-Diffusion Equations in Finite Domain. Abstract and Applied Analysis No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-504719
American Medical Association (AMA)
Zhao, Jingjun& Xiao, Jingyu& Xu, Yang. A Finite Element Method for the Multiterm Time-Space Riesz Fractional Advection-Diffusion Equations in Finite Domain. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-504719
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504719