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加热下分数阶广义二阶流体的Rayleigh-Stokes问题的一种有效数值方法 被引量：4

An Effective Numerical Method of the Rayleigh-Stokes Problem for a Heated Generalized Second Grade Fluid With Fractional Derivative
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摘要 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-HGS- GF 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.
作者 庄平辉 刘青霞
机构地区 厦门大学数学科学学院
出处 《应用数学和力学》 CSCD 北大核心 2009年第12期1440-1452,共13页 Applied Mathematics and Mechanics
关键词 Rayleigh—Stokes问题 数值方法 稳定性 收敛性 Rayleigh-Stokes problem numerical method stability convergence
分类号 O35 [理学—流体力学] O24 [理学—计算数学]
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参考文献17

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应用数学和力学
2009年 第12期

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