NUMERICAL SCHEMES WITH HIGH SPATIAL ACCURACY FOR A VARIABLE-ORDER ANOMALOUS SUBDIFFUSION EQUATION

CORC > 厦门大学 > 数学科学－已发表论文

	NUMERICAL SCHEMES WITH HIGH SPATIAL ACCURACY FOR A VARIABLE-ORDER ANOMALOUS SUBDIFFUSION EQUATION
	Chen, C. M. ; Liu, F. ; Anh, V. ; Turner, I. ; Chen CM(陈昌明)
刊名	http://dx.doi.org/10.1137/090771715
	2010
关键词	FRACTIONAL DIFFUSION EQUATION GENERALIZED 2ND-GRADE FLUID FINITE-DIFFERENCE METHODS NONLINEAR SOURCE-TERM RANDOM-WALK FELLER SEMIGROUPS FOURIER METHOD STABILITY OPERATORS APPROXIMATION
英文摘要	Australian Research Council [DP0986766]; National Natural Science Foundation of China [10271098]; Natural Science Foundation of Fujian province [2009J01014.]; In this paper, we consider a variable-order anomalous subdiffusion equation. A numerical scheme with first order temporal accuracy and fourth order spatial accuracy for the equation is proposed. The convergence, stability, and solvability of the numerical scheme are discussed via the technique of Fourier analysis. Another improved numerical scheme with second order temporal accuracy and fourth order spatial accuracy is also proposed. Some numerical examples are given, and the results demonstrate the effectiveness of theoretical analysis.
语种	英语
出版者	Society for Industrial and Applied Mathematics
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66863]
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 SCHEMES WITH HIGH SPATIAL ACCURACY FOR A VARIABLE-ORDER ANOMALOUS SUBDIFFUSION EQUATION[J]. http://dx.doi.org/10.1137/090771715,2010.
APA	Chen, C. M.,Liu, F.,Anh, V.,Turner, I.,&陈昌明.(2010).NUMERICAL SCHEMES WITH HIGH SPATIAL ACCURACY FOR A VARIABLE-ORDER ANOMALOUS SUBDIFFUSION EQUATION.http://dx.doi.org/10.1137/090771715.
MLA	Chen, C. M.,et al."NUMERICAL SCHEMES WITH HIGH SPATIAL ACCURACY FOR A VARIABLE-ORDER ANOMALOUS SUBDIFFUSION EQUATION".http://dx.doi.org/10.1137/090771715 (2010).