| 求解对流扩散方程的两层半显式差分格式 |
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| 引用本文： | 张大凯,李洪林.求解对流扩散方程的两层半显式差分格式[J].贵州科学,1991,9(1):5-12. |
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| 作者姓名： | 张大凯 李洪林 |
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| 作者单位： | 贵州大学数学系，贵州大学数学系 |
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| 摘 要： | 本文给出了对流扩散方程的两种两层差分格式,讨论了它们的相容性、稳定性,极值性和单调性,给出了一种提高精度的方法。这两种格式为半显格式,对初边值问题可显式计算。它们都具有恒稳或亚恒稳定的性质。
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| 关 键 词： | 对流扩散方程 两层差分格式 半显式 |
TWO LEVEL SEMI-EXPLICIT DIFFERENT SCHEMES FOR DIFFUSION CONVECTION EQUATION |
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| Zhang Dakai,Li Honglin.TWO LEVEL SEMI-EXPLICIT DIFFERENT SCHEMES FOR DIFFUSION CONVECTION EQUATION[J].Guizhou Science,1991,9(1):5-12. |
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| Authors: | Zhang Dakai Li Honglin |
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| Abstract: | A class of two-level semi-explicit different schemes is proposed for the diffusion convection equation in this paper. Here, we have discussed the problem of the consistent, stability, extremum and monotonicity, and proposed a method of increasing the accuracy. These schemes are semi-explicit schemes, and they can be calculated explicitly for initial-boundary value problems. They all have the characteristics of absolute stability or subabsolute stability. |
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| Keywords: | diffusion convection equation: two-level semi-explicit schemes |
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