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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.

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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.

Impact and interest:

25 citations in Scopus
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23 citations in Web of Science®

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144 since deposited on 18 Jan 2010
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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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