| 二维线性对流扩散方程一种新的特征差分算法及收敛分析 |
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| 引用本文： | 张宏伟,;胡能兵,;周宽宽.二维线性对流扩散方程一种新的特征差分算法及收敛分析[J].四川轻化工学院学报,2008(6):1-5. |
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| 作者姓名： | 张宏伟 ;胡能兵 ;周宽宽 |
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| 作者单位： | [1]长沙理工大学数学与计算科学学院,长沙410076 |
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| 基金项目： | 国家自然科学基金项目（10771021）;省教育厅优秀青年项目（06B003） |
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| 摘 要： | 文章讨论了二维线性对流扩散方程，将特征线法和有限差分法相结合，借助于双线性插值，给出了求解二维线性对流扩散方程数值解的一种新的特征差分格式，并分析了该算法的收敛性。此算法表明对于一类对流扩散方程，应用此差分格式，能更有效地消除数值振荡现象，从而极大地提高数值逼近度。
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| 关 键 词： | 二维对流扩散方程 特征差分法 收敛分析 |
A New Kind of Characteristic-Difference Algorithm for Linear Convection-Diffusion Equation of Two Dimensions and Convergence Analysis |
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| Affiliation: | ZHANG Hong-wei, HU Neng-bing, ZHOU Kuan-kuan (School of Mathmatics and Computer Science, Changsha University of Science ＆ Technology, Changsha 410076, China) |
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| Abstract: | Linear convection-diffusion equation of two-dimensions is discussed. A new kind of characteristicdifference algorithm is for linear convection-diffusion equation of two-dimensions, constructed by combining characteristic method with the finite-difference method and with the help of bilinear interpolation method.And it analyses the convergence of this characteristic-difference algorithm.This algorithm shows that it can eliminate the numerical oscillations more efficiently by the application of this difference format for a category of convection-diffusion equations and can greatly improve the approximation rate of numerical value. |
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| Keywords: | linear convection-diffusion equation of two-dimensions characteristic-difference algorithm convergence analysis |
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