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New design and analysis of finite difference domain decomposition algorithm for the two-dimensional heat equation

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Abstract

It is presented in this paper that the new design and its analysis of finite difference domain decomposition algorithms for the two-dimensional heat equation, and the numerical results have shown the stability and accuracy of the algorithms, where Saul’yev asymmetric schemes have been used at the interface points. The Algorithm II in this paper has further extended those developed by Dawson and the others, Zhang and Shen.

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Authors and Affiliations

  1. Department of Mathematics, Hunan Institute of Science and Technology, Yueyang, 414006, China

    Zhengsu Wan

  2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China

    Baolin Zhang & Guangnan Cheng

Authors
  1. Zhengsu Wan
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  2. Baolin Zhang
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  3. Guangnan Cheng
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Corresponding author

Correspondence to Zhengsu Wan.

Additional information

This research was supported by Natural Science Foundation of China under Grant Nos. 10671060 and 10871061, the Youth Foundation of Hunan Education Bureau under Grant No. 06B037, the Natural Science Foundation of Hunan Province under Grant No. 09JJ6015, and the Construct Program of the Key Discipline in Hunan Province

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Wan, Z., Zhang, B. & Cheng, G. New design and analysis of finite difference domain decomposition algorithm for the two-dimensional heat equation. J Syst Sci Complex 23, 403–412 (2010). https://doi.org/10.1007/s11424-010-7054-8

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  • DOI: https://doi.org/10.1007/s11424-010-7054-8

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