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A Class of Alternating Segment Crank–Nicolson Methods for Solving Convection-Diffusion Equations

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Abstract

In this paper, we give a class of Alternating Segment Crank–Nicolson (ASC-N) method for the convection-diffusion equation. The method is unconditionally stable and has the advantages of parallel computing. The numerical examples show that the accuracy of the method is better than that of the existing method in [4].

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Authors and Affiliations

  1. Department of Mathematics, Shandong University, 250100, Jinan, P.R. China

    Wenqia Wang

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  1. Wenqia Wang
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Correspondence to Wenqia Wang.

Additional information

AMS Subject Classifications: 65M06, 65M12, 65Y05.

This research is supported by the Natural Science Foundation of Shandong Province of China (y2003A04) and the Doctorate Foundation of the State Education Department of China

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Wang, W. A Class of Alternating Segment Crank–Nicolson Methods for Solving Convection-Diffusion Equations. Computing 73, 41–55 (2004). https://doi.org/10.1007/s00607-004-0077-z

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  • DOI: https://doi.org/10.1007/s00607-004-0077-z

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