Residential College | false |
Status | 已發表Published |
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation | |
Yang, Wenguang1; Wang, Zhibo1,2; Ou, Caixia3 | |
2024-11 | |
Source Publication | International Journal of Computer Mathematics |
ISSN | 0020-7160 |
Volume | 101Issue:11Pages:1255-1269 |
Abstract | In this paper, a finite difference (FD) scheme based on time two-grid algorithm is proposed for solving the two-dimensional time-fractional Fisher equation (2D-TFFE). Firstly, the Caputo fractional derivative and the spatial derivative are discretized by the 𝐿2−1𝜎 formula and the central difference formula, respectively. In order to improve the efficiency of computation, the time two-grid algorithm is then constructed. Secondly, based on the cut-off function technic, stability and convergence of the time two-grid FD scheme are obtained by the energy method, and the global convergence order is O(𝜏2𝐹+𝜏4𝐶+ℎ2𝑥+ℎ2𝑦) (Formula presented.), where 𝜏𝐹 and and 𝜏𝐶 represent time-step sizes on the fine and coarse grid, respectively, while ℎ𝑥 and ℎ𝑦 represent the space-step sizes. Finally, numerical experiments are presented to show the feasibility and efficiency of the algorithm. |
Keyword | Cut-off Function Method Stability And Convergence Time Two-grid Algorithm Time-fractional Fisher Equation |
DOI | 10.1080/00207160.2024.2389859 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:001290325600001 |
Publisher | TAYLOR & FRANCIS LTD, 2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND |
Scopus ID | 2-s2.0-85201120990 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Science and Technology DEPARTMENT OF MATHEMATICS |
Corresponding Author | Wang, Zhibo |
Affiliation | 1.School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, Guangdong, China 2.Center for Mathematics and Interdisciplinary Sciences, School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, Guangdong, China 3.Department of Mathematics, University of Macau, Macao |
Recommended Citation GB/T 7714 | Yang, Wenguang,Wang, Zhibo,Ou, Caixia. A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation[J]. International Journal of Computer Mathematics, 2024, 101(11), 1255-1269. |
APA | Yang, Wenguang., Wang, Zhibo., & Ou, Caixia (2024). A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation. International Journal of Computer Mathematics, 101(11), 1255-1269. |
MLA | Yang, Wenguang,et al."A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation".International Journal of Computer Mathematics 101.11(2024):1255-1269. |
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