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  

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

作　　者：庄平辉[1] 刘青霞[1] 

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《应用数学和力学》2009年第12期1440-1452,共13页Applied Mathematics and Mechanics

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.

关 键 词：Rayleigh—Stokes问题 数值方法 稳定性 收敛性 

分 类 号：O35[理学—流体力学] O24[理学—力学]