Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative

doi:10.1007/s10483-009-1205-7

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (12): 1533-.doi: https://doi.org/10.1007/s10483-009-1205-7

Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative

庄平辉刘青霞

School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian Province, P. R. China

收稿日期:2008-12-20 修回日期:2009-09-22 出版日期:2009-12-23 发布日期:2009-12-01

Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative

ZHUANG Ping-Hui, LIU Qing-Xia

School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian Province, P. R. China

Received:2008-12-20 Revised:2009-09-22 Online:2009-12-23 Published:2009-12-01

摘要/Abstract

摘要： In this paper, we consider the Rayleigh-Stokes problem for a heated generalized second grade fluid (RSP-HGSGF) with fractional derivative. An effective numerical method for approximating RSP-HGSGF in a bounded domain is presented. The stability and convergence of the method are analyzed. Numerical examples are presented to show the application of the present technique.

关键词: Rayleigh-Stokes problem, numerical method, stability, convergence

Abstract: In this paper, we consider the Rayleigh-Stokes problem for a heated generalized second grade fluid (RSP-HGSGF) with fractional derivative. An effective numerical method for approximating RSP-HGSGF in a bounded domain is presented. The stability and convergence of the method are analyzed. Numerical examples are presented to show the application of the present technique.

Key words: Rayleigh-Stokes problem, numerical method, stability, convergence

中图分类号:

庄平辉刘青霞. Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(12): 1533-.

ZHUANG Ping-Hui;LIU Qing-Xia. Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(12): 1533-.

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Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative

Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative

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