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

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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.

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Correspondence to Ping-hui Zhuang  (庄平辉).

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Communicated by Zhe-wei ZHOU

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Zhuang, Ph., Liu, Qx. Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative. Appl. Math. Mech.-Engl. Ed. 30, 1533–1546 (2009). https://doi.org/10.1007/s10483-009-1205-7

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

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