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): 1440-1452. doi: 10.3879/j.issn.1000-0887.2009.12.005
Citation: 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): 1440-1452. doi: 10.3879/j.issn.1000-0887.2009.12.005

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

doi: 10.3879/j.issn.1000-0887.2009.12.005
  • Received Date: 2008-12-20
  • Rev Recd Date: 2009-10-10
  • Publish Date: 2009-12-15
  • The Ray leigh-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 conver gence of the numerical method were analyzed.Finally,some numerical examples were presented to show the application of the present technique.
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