A Fourier method and an extrapolation technique for Stokes' first problem for a heated generalized second grade fluid with fractional derivative

作者：Chen Chang Ming; Liu F^*; Anh V

来源：Journal of Computational and Applied Mathematics, 2009, 223(2): 777-789.

DOI：10.1016/j.cam.2008.03.001

• Stokes' first problem
• Heat flow
• Numerical approximation
• Stability
• Convergence
• Fourier method
• Extrapolation method

In this article, we consider Stokes' first problem for a heated generalized second grade fluid with fractional derivative (SFP-HGSGF). Implicit and explicit numerical approximation schemes for the SFP-HGSGF are presented. The stability and convergence of the numerical schemes are discussed using a Fourier method. In addition, the solvability of the implicit numerical approximation scheme is also analyzed. A Richardson extrapolation technique for improving the order of convergence of the implicit scheme is proposed. Finally, a numerical test is given. The numerical results demonstrate the good performance of our theoretical analysis.

• 出版日期2009-1-15
• 单位华南理工大学; 厦门大学