A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation
Description
In this article, a novel fourth-order accurate difference method is derived for the distributed-order Riesz space fractional diffusion equation in one-dimensional (1D) and two-dimensional (2D) cases, respectively. First, the distributed integral terms are discretized by using the Simpson quadrature rule into the multi-term Riesz space fractional diffusion equations. Then, a fourth-order accurate difference scheme is presented to approximate the multi-term Riesz fractional diffusion equations. Moreover, the proposed difference schemes are proved to be unconditionally stable and convergent in (Formula presented.) norm for both 1D and 2D cases. Finally, numerical experiments are given to verify the efficiency of the schemes.
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| ID Code: | 243084 | ||
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| Item Type: | Contribution to Journal (Journal Article) | ||
| Refereed: | Yes | ||
| ORCID iD: |
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| Additional Information: | Funding Information: Fujian Provincial Natural Science Foundation of China, Grant/Award Numbers: 2020J01703; 2022J01338; Jimei University, Grant/Award Numbers: ZP2020054; ZP2020062 Funding information | ||
| Measurements or Duration: | 21 pages | ||
| Keywords: | alternating direction implicit method, convergence, difference approximation, distributed-order fractional derivative, stability | ||
| DOI: | 10.1002/num.22933 | ||
| ISSN: | 0749-159X | ||
| Pure ID: | 144282735 | ||
| Divisions: | Current > QUT Faculties and Divisions > Faculty of Science Current > Schools > School of Mathematical Sciences |
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| Funding Information: | The research is supported by the Fujian Provincial Natural Science Foundation of China (Nos. 2020J01703 and 2022J01338) and the fund project under Jimei University (Nos. ZP2020054 and ZP2020062). Fujian Provincial Natural Science Foundation of China, Grant/Award Numbers: 2020J01703; 2022J01338; Jimei University, Grant/Award Numbers: ZP2020054; ZP2020062 Funding information | ||
| Copyright Owner: | 2022 Wiley Periodicals LLC. | ||
| Copyright Statement: | This work is covered by copyright. Unless the document is being made available under a Creative Commons Licence, you must assume that re-use is limited to personal use and that permission from the copyright owner must be obtained for all other uses. If the document is available under a Creative Commons License (or other specified license) then refer to the Licence for details of permitted re-use. It is a condition of access that users recognise and abide by the legal requirements associated with these rights. If you believe that this work infringes copyright please provide details by email to qut.copyright@qut.edu.au | ||
| Deposited On: | 20 Sep 2023 05:20 | ||
| Last Modified: | 27 Mar 2024 16:00 |
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