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	NUMERICAL METHODS FOR SOLVING A TWO-DIMENSIONAL VARIABLE-ORDER ANOMALOUS SUBDIFFUSION EQUATION
	Chen, Chang-Ming ; Liu, F. ; Anh, V. ; Turner, I. ; Chen CM(陈昌明)
	2012-01
关键词	FRACTIONAL DIFFUSION EQUATION FINITE-DIFFERENCE METHODS GENERALIZED 2ND-GRADE FLUID NONLINEAR SOURCE-TERM FELLER SEMIGROUPS FOURIER METHOD STABILITY OPERATORS DIFFERENTIATION VISCOELASTICITY
英文摘要	Australian Research Council [DP0559807, DP0986766]; National Natural Science Foundation of China [10271098]; Natural Science Foundation of Fujian province [2009J01014]; Anomalous subdiffusion equations have in recent years received much attention. In this paper, we consider a two-dimensional variable-order anomalous subdiffusion equation. Two numerical methods (the implicit and explicit methods) are developed to solve the equation. Their stability, convergence and solvability are investigated by the Fourier method. Moreover, the effectiveness of our theoretical analysis is demonstrated by some numerical examples.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66861]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen, Chang-Ming,Liu, F.,Anh, V.,et al. NUMERICAL METHODS FOR SOLVING A TWO-DIMENSIONAL VARIABLE-ORDER ANOMALOUS SUBDIFFUSION EQUATION[J],2012.
APA	Chen, Chang-Ming,Liu, F.,Anh, V.,Turner, I.,&陈昌明.(2012).NUMERICAL METHODS FOR SOLVING A TWO-DIMENSIONAL VARIABLE-ORDER ANOMALOUS SUBDIFFUSION EQUATION..
MLA	Chen, Chang-Ming,et al."NUMERICAL METHODS FOR SOLVING A TWO-DIMENSIONAL VARIABLE-ORDER ANOMALOUS SUBDIFFUSION EQUATION".(2012).

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