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

ZHUANG Ping-Hui;LIU Qing-Xia

doi:10.1007/s10483-009-1205-7

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 12: 1533

DOI: https://doi.org/10.1007/s10483-009-1205-7

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

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

Received date: 2008-12-20

Revised date: 2009-09-22

Online published: 2009-12-01

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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

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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, 2009 , 30(12) : 1533 . DOI: 10.1007/s10483-009-1205-7

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