| 求解对流扩散方程的一致高精度非振荡特征差分方法 |
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| 引用本文： | 由同顺.求解对流扩散方程的一致高精度非振荡特征差分方法[J].工程数学学报,2002,19(2):57-62. |
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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： | 把特征差分法和一致高精度非振荡插值相结合，提出了求解对流占优扩散问题的一致高精度非振荡特征差分格式，避免了标准的特征差分格式在陡峭前缘附近产生的伪振荡，给出了非线性差分格式的误差估计及数值算例。
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| 关 键 词： | 对流扩散方程 特征差分法 一致高精度非振荡插值 |
| 文章编号： | 1005-3085(2002)02-0057-06 |
| 修稿时间： | 2000年2月22日 |
The Uniformly High-order Accurate Nonoscillatory Characteristic Difference Method for Convection Diffusion Equations |
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| YOU Tong-shun.The Uniformly High-order Accurate Nonoscillatory Characteristic Difference Method for Convection Diffusion Equations[J].Chinese Journal of Engineering Mathematics,2002,19(2):57-62. |
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| Authors: | YOU Tong-shun |
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| Abstract: | Through blending the characteristic difference method with the uniformly high order accurate nonoscillatory interpolation , the uniformly high order accurate nonoscillatory characteristic difference method for convection diffusion equations is proposed. The scheme is free from oscillation of standand characteristic difference method at the sharp front. The error estimates of nonlinear difference scheme and the numerical computations are given. |
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| Keywords: | convection diffusion equations the characteristic difference method the uniformly high order accurate nonoscillatory interpolation |
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