| 一维对流扩散方程的一类新型高精度紧致差分格式 |
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| 引用本文： | 王彩华.一维对流扩散方程的一类新型高精度紧致差分格式[J].水动力学研究与进展(A辑),2004,19(5):655-663. |
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| 作者姓名： | 王彩华 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300074 |
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| 摘 要： | 本文对一维无源线性对流扩散方程给出了4种高精度(O(h^2)-O(h^5))三点紧致差分格式，其中每一种格式都是在前一格式基础上进行简单修正得到的，故而计算起来很简便。数值算例表明本文方法优于以往的几种高精度差分格式，且适用于对流占优问题。
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| 关 键 词： | 对流扩散方程 Peclet数 紧致差分格式 对流占优问题 |
| 文章编号： | 1000-4874(2004)05-0655-09 |
A class of high-order compact difference scheme for a convection-diffusion equation |
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| WANG Cai-hua.A class of high-order compact difference scheme for a convection-diffusion equation[J].Journal of Hydrodynamics,2004,19(5):655-663. |
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| Authors: | WANG Cai-hua |
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| Abstract: | 4 compact high-order difference schemes (O(h~2)-O(h~5))are given for a one-dimentional linear convection-diffusion problem without source term. The computation of the latter scheme is simplified since the scheme can be got after a small modification of the former one. Numerical experiments show that the new method is better than some other high-order difference methods given before, and applicable for advection-dominated problem. |
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