| 对流占优扩散问题的高精度直线法 |
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| 引用本文： | 吴雄华,谭志海.对流占优扩散问题的高精度直线法[J].计算物理,1999,16(2):211-216. |
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| 作者姓名： | 吴雄华 谭志海 |
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| 作者单位： | 同济大学应用数学系, 上海 200092 |
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| 摘 要： | 基于常微分方程边值问题的高精度求解器SEVORD对偏微分方程作半离散,提出了求解一维对流扩散方程的高精度直线法,并采用局部一维化方法(LOD)给出了求解二维对流扩散问题的高精度交替方向直线法。
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| 关 键 词： | 对流占优 局部一维化方法 高精度 直线法 |
| 收稿时间： | 1998-01-22 |
| 修稿时间： | 1998-10-05 |
Line method with high order accuracy for convection-dominated diffusion equations |
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| Wu Xionghua,Tan Zhihai.Line method with high order accuracy for convection-dominated diffusion equations[J].Chinese Journal of Computational Physics,1999,16(2):211-216. |
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| Authors: | Wu Xionghua Tan Zhihai |
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| Institution: | Department of Applied Mathematics, Tongji University, Shanghai 200092 |
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| Abstract: | The line method with high order accuracy for a kind of one dimension convection_diffusion equations is presented by discretizing locally partial differential equations (PDE), which is based on the high order accurate solver-SEV ORD for ordinary differential equations (ODE) with boundary value problems. By using local one dimension method, the alternate direction line algorithm with high order accuracy is given for two dimension convection_diffusion problems. |
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| Keywords: | prominent convection local one dimension method high order accuracy line method |
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