Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
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Description
Anomalous dynamics in complex systems have gained much interest in recent years. In this paper, a two-dimensional anomalous subdiffusion equation (2D-ASDE) is considered. Two numerical methods for solving the 2D-ASDE are presented. Their stability, convergence and solvability are discussed. A new multivariate extrapolation is introduced to improve the accuracy. Finally, numerical examples are given to demonstrate the effectiveness of the schemes and confirm the theoretical analysis.
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| ID Code: | 29756 | ||||||
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| Item Type: | Contribution to Journal (Journal Article) | ||||||
| Refereed: | Yes | ||||||
| ORCID iD: |
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| Measurements or Duration: | 21 pages | ||||||
| Keywords: | Anomalous Dynamics, Convergence, Fourier Analysis, Multivariate Extrapolation, Stability, Subdiffusion Equation, The Two-Dimensional Problem | ||||||
| DOI: | 10.1007/s11075-009-9320-1 | ||||||
| ISSN: | 1017-1398 | ||||||
| Pure ID: | 32186245 | ||||||
| Divisions: | Past > QUT Faculties & Divisions > Faculty of Science and Technology Past > QUT Faculties & Divisions > Science & Engineering Faculty Current > Research Centres > Australian Research Centre for Aerospace Automation |
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| Copyright Owner: | Consult author(s) regarding copyright matters | ||||||
| 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: | 18 Jan 2010 21:14 | ||||||
| Last Modified: | 16 Jul 2024 17:36 |
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