A numerical approximation method for solving a three-dimensional space Galilei invariant fractional advection-diffusion equation

被引：11

作者：

Chen C.-M. ^{[1
]}

Liu F. ^{[2
]}

机构：

[1] School of Mathematical Science, Xiamen University

[2] School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD 4001

来源：

Journal of Applied Mathematics and Computing | 2009年 / 30卷 / 1-2期

关键词：

Convergence; Fourier analysis; Fractional advection-diffusion equation; Solvability; Stability; Three-dimension;

D O I：

10.1007/s12190-008-0168-7

中图分类号：

学科分类号：

摘要：

In this paper, a numerical approximation method for solving a three-dimensional space Galilei invariant fractional advection diffusion equation is presented. The convergence and stability of the numerical approximation method are discussed by a new technique of Fourier analysis. The solvability of the numerical approximation method also is analyzed. Finally, applying Richardson extrapolation technique, a high-accuracy algorithm is structured and the numerical example demonstrated the theoretical results. © 2008 Korean Society for Computational and Applied Mathematics.

引用

页码：219 / 236

页数：17

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