Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term

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	Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term
	Chen, C. M. ; Liu, F. ; Anh, V. ; Turner, I. ; Chen CM(陈昌明)
刊名	http://dx.doi.org/10.1016/j.amc.2010.12.049
	2011-02-15
关键词	ANOMALOUS SUBDIFFUSION EQUATION FRACTIONAL REACTION-DIFFUSION FELLER SEMIGROUPS RANDOM-WALKS OPERATORS DIFFERENTIATION VISCOELASTICITY TRANSPORT STABILITY ACCURACY
英文摘要	Natural Science Foundation of Fujian province [2009J01014]; Australian Research Council [DP0986766]; In this paper, we consider the variable-order Galilei advection diffusion equation with a nonlinear source term. A numerical scheme with first order temporal accuracy and second order spatial accuracy is developed to simulate the equation. The stability and convergence of the numerical scheme are analyzed. Besides, another numerical scheme for improving temporal accuracy is also developed. Finally, some numerical examples are given and the results demonstrate the effectiveness of theoretical analysis. (C) 2010 Elsevier Inc. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66866]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen, C. M.,Liu, F.,Anh, V.,et al. Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term[J]. http://dx.doi.org/10.1016/j.amc.2010.12.049,2011.
APA	Chen, C. M.,Liu, F.,Anh, V.,Turner, I.,&陈昌明.(2011).Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term.http://dx.doi.org/10.1016/j.amc.2010.12.049.
MLA	Chen, C. M.,et al."Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term".http://dx.doi.org/10.1016/j.amc.2010.12.049 (2011).