Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
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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|Item Type:||Journal Article|
|Keywords:||The Two-dimensional Problem, Anomalous Dynamics, Subdiffusion Equation, Fourier Analysis, Stability, Convergence, Multivariate Extrapolation|
|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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