| 解对流扩散方程的沿特征线中心差分格式 |
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| 引用本文： | 穆祖元.解对流扩散方程的沿特征线中心差分格式[J].同济大学学报(自然科学版),1997,25(3):354-359. |
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| 作者姓名： | 穆祖元 |
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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： | 构造了求解对流扩散方程的沿特征线中心差分格式，得到了最佳的Ｊ＾２和ｈ＾１误差估计，利用ＶｏｎＮｅｕｍａｎｎ方法分析了差分格式的稳定性，得到了格式稳定的充分必要条件。
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| 关 键 词： | 特征线 中心差商 稳定性 对流扩散方程 |
Finite Difference Method for Convection-diffusion Problems Based on a Central Difference Scheme along Characteristics |
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| Mu Zuyuan.Finite Difference Method for Convection-diffusion Problems Based on a Central Difference Scheme along Characteristics[J].Journal of Tongji University(Natural Science),1997,25(3):354-359. |
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| Authors: | Mu Zuyuan |
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| Abstract: | In this paper, a central difference scheme along characteristics is presented for finite difference methods for convection-diffusion problems. The optimal order error estimates in l2 and h1 are derived. Also, the stability condition and the result of computation are given. |
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| Keywords: | Characteristics Central divided difference Stability |
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