A Second-Order Uniformly Stable Explicit Asymmetric Discretization Method for One-Dimensional Fractional Diffusion Equations
Author
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Using the asymmetric discretization technique, an explicit finite difference scheme is constructed for one-dimensional spatial fractional diffusion equations (FDEs).
The spatial fractional derivative is approximated by the weighted and shifted Grünwald difference operator.
The scheme can be solved explicitly by calculating unknowns in the different nodal-point sequences at the odd time-step and the even time-step.
The uniform stability is proven and the error between the discrete solution and analytical solution is theoretically estimated.
Numerical examples are given to verify theoretical analysis.
American Psychological Association (APA)
Zhu, Lin. 2019. A Second-Order Uniformly Stable Explicit Asymmetric Discretization Method for One-Dimensional Fractional Diffusion Equations. Complexity،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1131755
Modern Language Association (MLA)
Zhu, Lin. A Second-Order Uniformly Stable Explicit Asymmetric Discretization Method for One-Dimensional Fractional Diffusion Equations. Complexity No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1131755
American Medical Association (AMA)
Zhu, Lin. A Second-Order Uniformly Stable Explicit Asymmetric Discretization Method for One-Dimensional Fractional Diffusion Equations. Complexity. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1131755
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131755