| 对流扩散方程的局部解析格式及其近似差分格式 |
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| 引用本文： | 陆金甫,顾丽珍. 对流扩散方程的局部解析格式及其近似差分格式[J]. 清华大学学报(自然科学版), 1986, 0(6) |
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| 作者姓名： | 陆金甫 顾丽珍 |
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| 作者单位： | 应用数学系(陆金甫)，应用数学系(顾丽珍) |
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| 摘 要： | 本文导出了求解对流扩散方程的局部解析格式的一些近似差分格式，从而给出它们的构造方法及相互联系。讨论了这些差分格式的稳定性条件、关于对流优势问题的适应性和其它的性质。分析和数值结果表明，Ｃａмарский格式是最优的。
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| 关 键 词： | 对流扩散方程 差分格式 对流占优问题 |
The Locally Analytical Difference Scheme and its Approximate Difference Schemes for Convection Diffusion Equation |
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| Lu Jinfu,Gu Lizhen. The Locally Analytical Difference Scheme and its Approximate Difference Schemes for Convection Diffusion Equation[J]. Journal of Tsinghua University(Science and Technology), 1986, 0(6) |
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| Authors: | Lu Jinfu Gu Lizhen |
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| Affiliation: | Department of Applied Mathematics |
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| Abstract: | In this paper, some approximate difference schemes of locally analytical difference scheme for approximate solution of convection-diffusion equation were derived and method of constructing such difference schemes and the relationship between them are given. The stability conditions, suitability for convectiondominated problems and other properties of these difference schemes are discussed. Numerical results and analysis shows that the Samarsky scheme is an optimal one. |
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| Keywords: | convection-diffusion equation difference scheme convection dominated problem. |
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