J4 ›› 2011, Vol. 46 ›› Issue (12): 39-43.

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High order compact scheme combined with extrapolation technique for solving convection-diffusion equations

QIAN Ling-zhi1, GU Hai-bo2   

  1. 1. Department of Mathematics, School of Science, Shihezi University, Shihezi 832003, Xinjiang, China;
    2. School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830053, Xinjiang, China
  • Received:2010-11-23 Online:2011-12-20 Published:2011-12-24

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Abstract:

Compact difference scheme are constructed by means of Padé approximation method, Richardson extrapolation technique and two-grid algorithm combined with compact finite difference scheme for linear convection-diffusion problems. Realization of the scheme,analysis of stability and error estimated are presented. Finally, numerical examples are presented to clarify the method.

Key words: compact difference scheme; Richardson extrapolation technique; twogrid algorighm; Padé  approximation

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