| 非线性对流扩散方程的ICT-特征差分方法 |
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| 引用本文： | 由同顺. 非线性对流扩散方程的ICT-特征差分方法[J]. 南开大学学报(自然科学版), 2002, 35(3): 49-54 |
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| 作者姓名： | 由同顺 |
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| 作者单位： | 南开大学数学学院 天津，300071 |
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| 摘 要： | 本文利用FCT的思想^[1,2]，对于对流扩散方程，提出了通过插值校正传输（ICT）的ICT－特征差分方法，避免了原始的特征差分法在解的大梯度附近产生的振荡，并给出了此方法的误差估计，通过数值例子表明，这个方法可消除振荡。
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| 关 键 词： | ICT－特征差分方法 非线性对流扩散方程 ICT插值 插值校正传输 误差估计 插值函数 |
| 文章编号： | 0465-7942(2002)03-0049-06 |
| 修稿时间： | 2000-06-17 |
THE ICT-CHARACTERISTIC DIFFERENCE METHOD FOR CONVECTION DIFFUSION EQUATION |
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| YOU Tongshun. THE ICT-CHARACTERISTIC DIFFERENCE METHOD FOR CONVECTION DIFFUSION EQUATION[J]. Acta Scientiarum Naturalium University Nankaiensis, 2002, 35(3): 49-54 |
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| Authors: | YOU Tongshun |
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| Abstract: | Using the ideas of FCT , the ICT-characteristic difference method, in which the transport is corrected by interpolation, is established for convection diffusion equation in the paper. The new method is free from oscillation, with which the problem is solved by the original characteristic difference method near the large gradient. The error estimates of the new method are obtained in the paper. Numerical examples show that the new method can erase the oscillation.$$$$ |
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| Keywords: | convection diffusion equation characteristic difference method ICT interpolation |
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