Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation

被引：82

作者：

Chen, Chang-Ming ^{[2
]}

Liu, Fawang ^{[1
]}

Turner, Ian ^{[1
]}

Anh, Vo ^{[1
]}

机构：

[1] Queensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2010年 / 54卷 / 01期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

The two-dimensional problem; Anomalous dynamics; Subdiffusion equation; Fourier analysis; Stability; Convergence; Multivariate extrapolation; ADVECTION-DISPERSION EQUATIONS; GENERALIZED 2ND-GRADE FLUID; TIME RANDOM-WALKS; FRACTIONAL DIFFUSION; DIFFERENCE-METHODS; BOUNDED DOMAINS; FOURIER METHOD; STABILITY; APPROXIMATION; TRANSPORT;

D O I：

10.1007/s11075-009-9320-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 21

页数：21

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