Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
Chen, Chang-Ming, Liu, Fawang, Turner, Ian, & Anh, Vo (2009) Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Numerical Algorithms.
Abstract
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 |
|---|---|
| Item Type: | Journal Article |
| Additional URLs: | |
| Keywords: | The Two-dimensional Problem, Anomalous Dynamics, Subdiffusion Equation, Fourier Analysis, Stability, Convergence, Multivariate Extrapolation |
| DOI: | 10.1007/s11075-009-9320-1 |
| ISSN: | 1572-9265 |
| Subjects: | Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) |
| Divisions: | Past > QUT Faculties & Divisions > Faculty of Science and Technology Past > Schools > Mathematical Sciences |
| Copyright Owner: | Copyright 2009 Springer |
| Copyright Statement: | The original publication is available at SpringerLink http://www.springerlink.com |
| Deposited On: | 19 Jan 2010 07:14 |
| Last Modified: | 01 Mar 2012 00:04 |
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