An Effective Numerical Method of the Rayleigh-Stokes Problem for a Heated Generalized Second Grade Fluid With Fractional Derivative

Abstract

考虑加热下分数阶广义二阶流体的rAylEIgH-STOkES问题(rSP-HgSgf),提出了一种逼近有界区域内rSP-HgSgf的有效数值方法.并且讨论了所提出方法的稳定性和收敛性.最后,利用数值例子体现数值方法的有效性.The Rayleigh-Stokes problem for a heated generalized second grade fluid(RSP-HGSGF) with fractional derivative was considered.An effective numerical method for approximating RSP-HGSGF in a bounded domain was presented.And the stability and convergence of the numerical method were analyzed.Finally,some numerical examples were presented to show the application of the present technique

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