Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (12): 1533-.doi: https://doi.org/10.1007/s10483-009-1205-7

• Articles • Previous Articles     Next Articles

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

ZHUANG Ping-Hui, LIU Qing-Xia   

  1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian Province, P. R. China
  • Received:2008-12-20 Revised:2009-09-22 Online:2009-12-23 Published:2009-12-01

Abstract: 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.

Key words: Rayleigh-Stokes problem, numerical method, stability, convergence

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals