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

Chang-Ming Chen; F. Liu; I. Turner; V. Anh

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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

机译：广义广义二阶流体变阶非线性斯托克斯第一问题的四阶空间精度数值方法

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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.

机译：近年来，斯托克斯的第一个问题受到了很多关注。在本文中，我们关注加热广义二阶流体的变阶非线性斯托克斯第一问题。提出了一种具有四阶空间精度的数值方案来解决该问题。通过傅立叶分析讨论了数值格式的稳定性，可解性和收敛性。还开发了一种改进的数值方案。另外，给出了一个数值例子，数值结果支持了我们理论分析结果的有效性。

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《Computers & mathematics with applications》 |2011年第3期|p.971-986|共16页
作者
Chang-Ming Chen; F. Liu; I. Turner; V. Anh;
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作者单位

School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;

School of Mathematical Sciences, Xiamen University, Xiamen 361005, China,Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia;

Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia;

Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia;

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the variable-order nonlinear stokes' first; problem; heated generalized second grade fluid; stability; convergence; fourier analysis; fourth-order spatial accuracy; improved numerical method;

机译：变阶非线性斯托克斯先;问题;加热的广义二级流体;稳定性;收敛;傅立叶分析四阶空间精度;改进的数值方法;

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机译：广义二级流体的瑞利-斯托克斯问题分析
7. Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes’ first problem for a heated generalized second grade fluid [O] . Chen Chang-Ming, Liu F., Turner I., 2011

机译：加热的广义二级流体变阶非线性斯托克斯第一问题的具有四阶空间精度的数值方法

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

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