Abstract
A 3-layered explicit difference scheme for the numerical solution of 2-D heat equation is proposed. Firstly, a general symmetric difference scheme is constructed and its optimal error is obtained. Then two kinds of condition for choosing the parameters for optimal error and stable difference scheme are given. Finally, some numerical results are presented to show the advantage of the schemes
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Communicated by Zhang Hong-qing
Foundation items: the Science Foundation of Chinese Postdoctoral (2002031224); the Science Foundations of Southeast University (9209011148, 3007011043)
Biography: Liu Ji-jun (1965-)
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Ji-jung, L. The 3-layered explicit difference scheme for 2-D heat equation. Appl Math Mech 24, 605–613 (2003). https://doi.org/10.1007/BF02435873
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DOI: https://doi.org/10.1007/BF02435873