New design and analysis of finite difference domain decomposition algorithm for the two-dimensional heat equation |
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| Authors: | Zhengsu Wan Baolin Zhang Guangnan Cheng |
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| Affiliation: | 1.Department of Mathematics,Hunan Institute of Science and Technology,Yueyang,China;2.Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,Beijing,China |
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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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