Radial point interpolation collocation method based approximation for 2D fractional equation models
Description
In this work, we studied the radial point interpolation collocation method (RIPCM) for the solution of the partial differential models with fractional derivatives. In the present meshless method, polynomial basis function and two novel types local support fields were considered. The (time-)space fractional differential equations with single-term or multi-term time derivatives in irregular domain were well simulated numerically by the proposed RIPCM method. Numerical tests were carried out to verify the accuracy and demonstrate the strength of the RIPCM in solving fractional derivative models in irregular domain.
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| ID Code: | 213853 | ||
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| Item Type: | Contribution to Journal (Journal Article) | ||
| Refereed: | Yes | ||
| ORCID iD: |
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| Additional Information: | Funding Information: The project was partially supported by the Fundamental Research Funds for the Central Universities (No. 20720180003 and 20720160002 ). The authors also wish to acknowledge that this research was partially supported by the Australian Research Council via the Discovery Projects (No. DP180103858 and DP190101889 ) and the National Natural Science Foundation of China (No. 11771005 and 11701467 ). | ||
| Measurements or Duration: | 9 pages | ||
| Keywords: | 2D Riesz space-fractional equations, Irregular domains, Meshless method, Multi-term time derivatives, Polynomial basis function, RIPCM | ||
| DOI: | 10.1016/j.camwa.2021.05.007 | ||
| ISSN: | 0898-1221 | ||
| Pure ID: | 99569180 | ||
| Divisions: | Current > QUT Faculties and Divisions > Faculty of Science Current > Schools > School of Mathematical Sciences |
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| Funding Information: | The project was partially supported by the Fundamental Research Funds for the Central Universities (No. 20720180003 and 20720160002 ). The authors also wish to acknowledge that this research was partially supported by the Australian Research Council via the Discovery Projects (No. DP180103858 and DP190101889 ) and the National Natural Science Foundation of China (No. 11771005 and 11701467 ). | ||
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| Copyright Owner: | 2021 Elsevier Ltd. | ||
| 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: | 12 Oct 2021 23:23 | ||
| Last Modified: | 29 Feb 2024 11:41 |
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