| Residential College | false |
| Status | 已發表Published |
| A high-order exponential ADI scheme for two dimensional time fractional convection-diffusion equations | |
Wang Z. ; Vong S. 
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| 2014 | |
| Source Publication | Computers and Mathematics with Applications
 |
| ISSN | 08981221 |
| Volume | 68Issue:3Pages:185-196 |
| Abstract | In this paper, a high order compact exponential alternating direction implicit (ADI) scheme for two dimensional fractional convection-diffusion equations is proposed with O(τ3+h14+h24) accuracy, where τ,, are the temporal and spatial step sizes respectively. The convergence of the finite difference scheme is studied using its matrix form by the energy method. Difficulty arising from the convection term is overcome by an analysis based on the eigenvalue decomposition of nonsymmetric tridiagonal matrices. © 2014 Elsevier Ltd. All rights reserved. |
| Keyword | Alternating Direction Implicit (Adi) Method Convergence High Order Compact Exponential Difference Scheme Two Dimensional Fractional Convection-diffusion Equation |
| DOI | 10.1016/j.camwa.2014.05.016 |
| URL | View the original |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000340316100010 |
| Scopus ID | 2-s2.0-84904611093 |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | DEPARTMENT OF MATHEMATICS |
| Corresponding Author | Vong S. |
| Affiliation | Universidade de Macau |
| First Author Affilication | University of Macau |
| Corresponding Author Affilication | University of Macau |
| Recommended Citation GB/T 7714 | Wang Z.,Vong S.. A high-order exponential ADI scheme for two dimensional time fractional convection-diffusion equations[J]. Computers and Mathematics with Applications, 2014, 68(3), 185-196. |
| APA | Wang Z.., & Vong S. (2014). A high-order exponential ADI scheme for two dimensional time fractional convection-diffusion equations. Computers and Mathematics with Applications, 68(3), 185-196. |
| MLA | Wang Z.,et al."A high-order exponential ADI scheme for two dimensional time fractional convection-diffusion equations".Computers and Mathematics with Applications 68.3(2014):185-196. |
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