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The alternating segment crank-nicolson method for solving convection-diffusion equation with variable coefficient

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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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Authors and Affiliations

  1. School of Mathematics and System Science, Shandong University, 250100, Jinan, China

    Wang Wen-qia Professor

Authors
  1. Wang Wen-qia Professor
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Additional information

Communicated by YUN Tian-quan

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

Biography: WANG Wen-qia (1950-), E-mail: wwqia@math.sdu.edu.cn

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Wen-qia, W. The alternating segment crank-nicolson method for solving convection-diffusion equation with variable coefficient. Appl Math Mech 24, 32–42 (2003). https://doi.org/10.1007/BF02439375

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  • DOI: https://doi.org/10.1007/BF02439375

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