Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (1): 32-42.

• 论文 • 上一篇    下一篇

THE ALTERNATING SEGMENT CRANK-NICOLSON METHOD FOR SOLVING CONVECTION-DIFFUSION EQUATION WITH VARIABLE COEFFICIENT

王文洽   

  1. School of Mathematics and System Science, Shandong University, Jinan 250100, China
  • 收稿日期:2000-11-20 修回日期:2002-07-21 出版日期:2003-01-18 发布日期:2003-01-18
  • 基金资助:

    the Doctorate Foundation of the State Education Department of China (97042202)

THE ALTERNATING SEGMENT CRANK-NICOLSON METHOD FOR SOLVING CONVECTION-DIFFUSION EQUATION WITH VARIABLE COEFFICIENT

WANG Wen-qia   

  1. School of Mathematics and System Science, Shandong University, Jinan 250100, China
  • Received:2000-11-20 Revised:2002-07-21 Online:2003-01-18 Published:2003-01-18
  • Supported by:

    the Doctorate Foundation of the State Education Department of China (97042202)

摘要: A new discrete approximation to the convection term of the covection-diffusion equation was constructed in Saul’yev type difference scheme, then the alternating segment Crank-Nicolson(ASC-N)method for solving the convection-diffusion equation with variable coefficient was developed. The ASC-N method is unconditionally stable. Numerical experiment shows that this method has the obvious property of parallelism and accuracy.The method can be used directly on parallel computers.

Abstract: A new discrete approximation to the convection term of the covection-diffusion equation was constructed in Saul’yev type difference scheme, then the alternating segment Crank-Nicolson(ASC-N)method for solving the convection-diffusion equation with variable coefficient was developed. The ASC-N method is unconditionally stable. Numerical experiment shows that this method has the obvious property of parallelism and accuracy.The method can be used directly on parallel computers.

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