Residential College | false |
Status | 已發表Published |
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 Publication | Communications in Computational Physics |
ISSN | 19917120 18152406 |
Volume | 17Issue: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. |
Keyword | Adi Combined Compact Difference (Ccd) Scheme Fourier Analysis Stability Time-fractional Advection-diffusion Equations |
DOI | 10.4208/cicp.180314.010914a |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Physics |
WOS Subject | Physics, Mathematical |
WOS ID | WOS:000353693400007 |
Scopus ID | 2-s2.0-84925457595 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Science and Technology DEPARTMENT OF MATHEMATICS |
Affiliation | 1.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. |
Files in This Item: | There are no files associated with this item. |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment