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

被引：34

作者：

Zhuang, Ping-hui ^{[1
]}

Liu, Qing-xia ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian Province, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 12期

关键词：

Rayleigh-Stokes problem; numerical method; stability; convergence; 2ND GRADE FLUID; EQUATIONS; DOMAINS; MOTION; FLOWS; SPACE;

D O I：

10.1007/s10483-009-1205-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1533 / 1546

页数：14

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