Numerical analysis for a variable-order nonlinear cable equation

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	Numerical analysis for a variable-order nonlinear cable equation
	Chen, Chang-Ming ; Liu, F. ; Burrage, K. ; Chen CM(陈昌明)
刊名	http://dx.doi.org/10.1016/j.cam.2011.06.019
	2011-08-15
关键词	ANOMALOUS DIFFUSION FELLER SEMIGROUPS MONTE-CARLO MEMBRANE OPERATORS DIFFERENTIATION VISCOELASTICITY
英文摘要	Australian Research Council [DP1094333]; Natural Science Foundation of Fujian province [2009J01014]; In this paper, a variable-order nonlinear cable equation is considered. A numerical method with first-order temporal accuracy and fourth-order spatial accuracy is proposed. The convergence and stability of the numerical method are analyzed by Fourier analysis. We also propose an improved numerical method with second-order temporal accuracy and fourth-order spatial accuracy. Finally, the results of a numerical example support the theoretical analysis. (C) 2011 Elsevier B.V. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66859]
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.,Burrage, K.,et al. Numerical analysis for a variable-order nonlinear cable equation[J]. http://dx.doi.org/10.1016/j.cam.2011.06.019,2011.
APA	Chen, Chang-Ming,Liu, F.,Burrage, K.,&陈昌明.(2011).Numerical analysis for a variable-order nonlinear cable equation.http://dx.doi.org/10.1016/j.cam.2011.06.019.
MLA	Chen, Chang-Ming,et al."Numerical analysis for a variable-order nonlinear cable equation".http://dx.doi.org/10.1016/j.cam.2011.06.019 (2011).