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	Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid
	Chen, Chang-Ming ; Liu, F. ; Turner, I. ; Anh, V. ; Chen CM(陈昌明)
刊名	http://dx.doi.org/10.1016/j.camwa.2011.03.065
	2011-08
关键词	POROUS HALF-SPACE DIFFUSION EQUATION FELLER SEMIGROUPS OPERATORS DIFFERENTIATION VISCOELASTICITY
英文摘要	Natural Science Foundation of Fujian province [2009J01014]; Australian Research Council [DP0986766]; Stokes' first problem has in recent years received much attention. In this paper, we focus on the variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid. A numerical scheme with fourth-order spatial accuracy is developed to solve the problem. The stability, solvability and convergence of the numerical scheme are discussed via Fourier analysis. An improved numerical scheme is also developed. In addition, a numerical example is given and the numerical results support the effectiveness of our theoretical analysis results. (C) 2011 Elsevier Ltd. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66864]
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.,Turner, I.,et al. Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid[J]. http://dx.doi.org/10.1016/j.camwa.2011.03.065,2011.
APA	Chen, Chang-Ming,Liu, F.,Turner, I.,Anh, V.,&陈昌明.(2011).Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid.http://dx.doi.org/10.1016/j.camwa.2011.03.065.
MLA	Chen, Chang-Ming,et al."Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid".http://dx.doi.org/10.1016/j.camwa.2011.03.065 (2011).

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