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.

View at publisher


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:

52 citations in Scopus
Search Google Scholar™
48 citations in Web of Science®

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

Full-text downloads:

239 since deposited on 18 Jan 2010
9 in the past twelve months

Full-text downloads displays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.

ID Code: 29756
Item Type: Journal Article
Refereed: Yes
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
Deposited On: 18 Jan 2010 21:14
Last Modified: 29 Feb 2012 14:04

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page