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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 | |
| 引用本文： | 庄平辉,刘青霞. 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[J]. 应用数学和力学, 2009, 30(12). DOI: 10.3879/j.issn.1000-0887.2009.12.005 |
| 作者姓名： | 庄平辉 刘青霞 |
| 作者单位： | 厦门大学,数学科学学院,福建,厦门,361005 |
| 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. |
| 关 键 词： | Rayleigh-Stokes问题 数值方法 稳定性 收敛性 |
An Effective Numerical Method of the Rayleigh-Stokes Problem for a Heated Generalized Second Grade Fluid With Fractional Derivative |
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| ZHUANG Ping-hui,LIU Qing-xia. An Effective Numerical Method of the Rayleigh-Stokes Problem for a Heated Generalized Second Grade Fluid With Fractional Derivative[J]. Applied Mathematics and Mechanics, 2009, 30(12). DOI: 10.3879/j.issn.1000-0887.2009.12.005 | |
| Authors: | ZHUANG Ping-hui LIU Qing-xia |
| Abstract: | 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. |
| Keywords: | Rayleigh-Stokes problem numerical method stability convergence |
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