| Autor: |
Man Luo, Da Xu, Xianmin Pan |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-32 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1687-2770 |
| DOI: |
10.1186/s13661-024-01915-6 |
| Popis: |
Abstract In this article, a new numerical algorithm for solving a 1-dimensional (1D) and 2-dimensional (2D) time-fractional diffusion equation is proposed. The Sinc-Galerkin scheme is considered for spatial discretization, and a higher-order finite difference formula is considered for temporal discretization. The convergence behavior of the methods is analyzed, and the error bounds are provided. The main objective of this paper is to propose the error bounds for 2D problems by using the Sinc-Galerkin method. The proposed method in terms of convergence is studied by using the characteristics of the Sinc function in detail with optimal rates of exponential convergence for 2D problems. Some numerical experiments validate the theoretical results and present the efficiency of the proposed schemes. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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