| 扩散方程的高精度差分格式 |
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| 引用本文： | 吴旭光. 扩散方程的高精度差分格式[J]. 河海大学学报(自然科学版), 1991, 19(3): 71-77 |
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| 作者姓名： | 吴旭光 |
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| 作者单位： | 河海大学计算中心 |
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| 摘 要： | ![]()
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| 关 键 词： | 扩散方程 差分格式 高精度 |
Methods of Constructing High Arccuracy Schemes for Diffusion Equation |
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| Wu Xuguang The Computer Center,Hehai Univ.. Methods of Constructing High Arccuracy Schemes for Diffusion Equation[J]. Journal of Hohai University (Natural Sciences ), 1991, 19(3): 71-77 |
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| Authors: | Wu Xuguang The Computer Center Hehai Univ. |
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| Abstract: | ![]()
Classical difference schames for diffusion equation are of second-order accuracy in t. In this paper, the ultraconvergence principle of derivative interpolation is used, so the scheme is of three-order accuracy in t, but is not an absolutely stable scheme, however, its condition can be satisfied easily. In the paper, the composite scheme is proposed again. It is mainly a 3-order accuracy scheme and the stable condition of the scheme can be improved. Results show that the present method is effective. |
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| Keywords: | diffusion equation difference scheme condition stable ultraconvergence |
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