| 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 |
| |
| 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].四川理工学院学报(自然科学版),2008,21(6). |
| |
| 作者姓名： | 张宏伟 胡能兵 周宽宽 |
| |
| 作者单位： | 长沙理工大学数学与计算科学学院,长沙,410076;长沙理工大学数学与计算科学学院,长沙,410076;长沙理工大学数学与计算科学学院,长沙,410076 |
| |
| 基金项目： | 国家自然科学基金项目
，
省教育厅优秀青年项目
|
| |
| 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。
|
| 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 |
| |
| ZHANG Hong-wei,HU Neng-bing,ZHOU Kuan-kuan.A New Kind of Characteristic-Difference Algorithm for Linear Convection-Diffusion Equation of Two Dimensions and Convergence Analysis[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2008,21(6). |
| |
| Authors: | ZHANG Hong-wei HU Neng-bing ZHOU Kuan-kuan |
| |
| Institution: | ZHANG Hong-wei,HU Neng-bing,ZHOU Kuan-kuan(School of Mathmatics , Computer Science,Changsha University of Science & Technology,Changsha 410076,China) |
| |
| Abstract: | Linear convection-diffusion equation of two-dimensions is discussed.A new kind of characteristic-difference 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... |
| |
| Keywords: | linear convection-diffusion equation of two-dimensions characteristic-difference algorithm convergence analysis |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
