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Three-point combined compact alternating direction implicit difference schemes for two-dimensional time-fractional advection-diffusion equations
Gao,Guang Hua1; Sun,Hai Wei2
2015-03-29
Source PublicationCommunications in Computational Physics
ISSN19917120 18152406
Volume17Issue:2Pages:487-509
Abstract

This paper is devoted to the discussion of numerical methods for solving two-dimensional time-fractional advection-diffusion equations. Two different three-point combined compact alternating direction implicit (CC-ADI) schemes are proposed and then, the original schemes for solving the two-dimensional problems are divided into two separate one-dimensional cases. Local truncation errors are analyzed and the unconditional stabilities of the obtained schemes are investigated by Fourier analysis method. Numerical experiments show the effectiveness and the spatial higher-order accuracy of the proposed methods.

KeywordAdi Combined Compact Difference (Ccd) Scheme Fourier Analysis Stability Time-fractional Advection-diffusion Equations
DOI10.4208/cicp.180314.010914a
URLView the original
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000353693400007
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Cited Times [WOS]:13   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
Personal research not belonging to the institution
DEPARTMENT OF MATHEMATICS
Affiliation1.College of Science, Nanjing University of Posts and Telecommunications,Nanjing,210046,China
2.Department of Mathematics, University of Macau,Macao
Recommended Citation
GB/T 7714
Gao,Guang Hua,Sun,Hai Wei. Three-point combined compact alternating direction implicit difference schemes for two-dimensional time-fractional advection-diffusion equations[J]. Communications in Computational Physics,2015,17(2):487-509.
APA Gao,Guang Hua,&Sun,Hai Wei.(2015).Three-point combined compact alternating direction implicit difference schemes for two-dimensional time-fractional advection-diffusion equations.Communications in Computational Physics,17(2),487-509.
MLA Gao,Guang Hua,et al."Three-point combined compact alternating direction implicit difference schemes for two-dimensional time-fractional advection-diffusion equations".Communications in Computational Physics 17.2(2015):487-509.
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