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A Banded Preconditioning Iteration Method for Time-Space Fractional Advection-Diffusion Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we concentrate on the efficient solvers for the time-space fractional advection-diffusion equations.
Firstly, the implicit finite difference schemes with the shifted Grünwald-Letnikov approximations for spatial fractional derivative and unshifted Grünwald-Letnikov approximations for time fractional derivative are employed to discretize time-space fractional advection-diffusion equations.
The discretization results in a series of large dense linear systems.
Then, a banded preconditioner is proposed and some theoretical properties for the preconditioning matrix are studied.
Numerical implementations show that the banded preconditioner may lead to satisfactory experimental results when we choose appropriate bandwidth in the preconditioner.
American Psychological Association (APA)
Zeng, Min-Li& Zhang, Guo-Feng. 2017. A Banded Preconditioning Iteration Method for Time-Space Fractional Advection-Diffusion Equations. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1191608
Modern Language Association (MLA)
Zeng, Min-Li& Zhang, Guo-Feng. A Banded Preconditioning Iteration Method for Time-Space Fractional Advection-Diffusion Equations. Mathematical Problems in Engineering No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1191608
American Medical Association (AMA)
Zeng, Min-Li& Zhang, Guo-Feng. A Banded Preconditioning Iteration Method for Time-Space Fractional Advection-Diffusion Equations. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1191608
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191608