Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid

被引：60
作者：
Chen, Chang-Ming [1 ]
Liu, F. [1 ,2 ]
Turner, I. [2 ]
Anh, V. [2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Queensland Univ Technol, Brisbane, Qld 4001, Australia
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
The variable-order nonlinear Stokes' first problem; Heated generalized second grade fluid; Stability; Convergence; Fourier analysis; Fourth-order spatial accuracy; Improved numerical method; POROUS HALF-SPACE; DIFFERENTIATION;
D O I：
10.1016/j.camwa.2011.03.065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：971 / 986
页数：16
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