| 对流—扩散方程的一种高精度优化差分格式 |
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| 引用本文： | 杨志峰,周雪漪.对流—扩散方程的一种高精度优化差分格式[J].水动力学研究与进展(A辑),1991,6(1):113-119. |
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| 作者姓名： | 杨志峰 周雪漪 |
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| 作者单位： | 北京大学
(杨志峰)，清华大学
(周雪漪)，清华大学(许协庆) |
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| 摘 要： | 本文提出了数值求解一维对流-扩散方程的一种高精度优化差分格式,计算了三个典型问题并和前人工作进行了比较,获得了更加令人满意的结果。
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| 关 键 词： | 对流扩散方程 差分格式 计算方法 |
An Optimal Difference Scheme with High Accuracy for the Convection-diffusion Equation |
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| Yang Zhi-feng.An Optimal Difference Scheme with High Accuracy for the Convection-diffusion Equation[J].Journal of Hydrodynamics,1991,6(1):113-119. |
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| Authors: | Yang Zhi-feng |
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| Institution: | Yang Zhi-feng (Peking University)Zhou Xue-yi Xu Xie-qing (Tsinghua University) |
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| Abstract: | In this paper, an optimal difference scheme with high accuracy is suggested for solving one-dimensional convection-diffusion equation numerically. The scheme is used to solve three typical test problems, their numerical solutions are separately compared with those obtained in the previous work, and analytic value. The present scheme gives better results. |
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| Keywords: | convection-diffusion equation difference scheme numerical method |
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