Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
Data(s) |
30/07/2009
|
---|---|
Resumo |
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. |
Formato |
application/pdf |
Identificador | |
Publicador |
Springer |
Relação |
http://eprints.qut.edu.au/29756/1/c29756.pdf DOI:10.1007/s11075-009-9320-1 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. |
Direitos |
Copyright 2009 Springer The original publication is available at SpringerLink http://www.springerlink.com |
Fonte |
Faculty of Science and Technology; Mathematical Sciences |
Palavras-Chave | #010200 APPLIED MATHEMATICS #The Two-dimensional Problem #Anomalous Dynamics #Subdiffusion Equation #Fourier Analysis #Stability #Convergence #Multivariate Extrapolation |
Tipo |
Journal Article |