| 求解对流扩散方程的一些高阶差分格式 |
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| 引用本文： | 顾丽珍.求解对流扩散方程的一些高阶差分格式[J].清华大学学报(自然科学版),1996(2). |
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| 作者姓名： | 顾丽珍 |
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| 作者单位： | 清华大学应用数学系!北京100084 |
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| 摘 要： | 讨论了求解非定态对流扩散方程的５种高阶差分格式。它们均由待定系数法并利用原对流扩散方程导出。指出格式的正性域是其稳定域的子域。分析了格式的数值性质和实用价值。
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| 关 键 词： | 对流扩散 高阶差分格式 待定系数法 正性 稳定性 |
Some higher-order difference schemes for unsteady convection-diffusion equations |
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| Gu Lizhen.Some higher-order difference schemes for unsteady convection-diffusion equations[J].Journal of Tsinghua University(Science and Technology),1996(2). |
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| Authors: | Gu Lizhen |
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| Abstract: | Five higher-order difference schemes for unsteady convection-diffusion problems are discussed. They are constructed by using the undetermined coefficient method and the convection-diffusion equation. It is proved that the positivity domain of schemes belongs to stability domain of schemes. The numerical behaviour and applied value of scheme are analysed. |
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| Keywords: | convection-diffusion higher-order difference scheme undetermined coefficient method positivity stability |
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