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Novel Second-Order Accurate Implicit Numerical Methods for the Riesz Space Distributed-Order Advection-Dispersion Equations
Joint Authors
Chen, Xuejuan
Wang, X.
Liu, Fawang
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-25
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We derive and analyze second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations (RSDO-ADE) in one-dimensional (1D) and two-dimensional (2D) cases, respectively.
Firstly, we discretize the Riesz space distributed-order advection-dispersion equations into multiterm Riesz space fractional advection-dispersion equations (MT-RSDO-ADE) by using the midpoint quadrature rule.
Secondly, we propose a second-order accurate implicit numerical method for the MT-RSDO-ADE.
Thirdly, stability and convergence are discussed.
We investigate the numerical solution and analysis of the RSDO-ADE in 1D case.
Then we discuss the RSDO-ADE in 2D case.
For 2D case, we propose a new second-order accurate implicit alternating direction method, and the stability and convergence of this method are proved.
Finally, numerical results are presented to support our theoretical analysis.
American Psychological Association (APA)
Wang, X.& Liu, Fawang& Chen, Xuejuan. 2015. Novel Second-Order Accurate Implicit Numerical Methods for the Riesz Space Distributed-Order Advection-Dispersion Equations. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1052998
Modern Language Association (MLA)
Wang, X.…[et al.]. Novel Second-Order Accurate Implicit Numerical Methods for the Riesz Space Distributed-Order Advection-Dispersion Equations. Advances in Mathematical Physics No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1052998
American Medical Association (AMA)
Wang, X.& Liu, Fawang& Chen, Xuejuan. Novel Second-Order Accurate Implicit Numerical Methods for the Riesz Space Distributed-Order Advection-Dispersion Equations. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1052998
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052998