摘要
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.
This paper discusses two - dimensional linear convection - diffusion equation. A new kind of characteristic - difference algorithm for two - dimensional linear convection - diffusion equation is 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 efficienfly by the application of this difference format for a category of convection - diffusion equations and can greatly improve the approximation rate of numerical value.
出处
《湖北民族学院学报（自然科学版）》
CAS
2008年第3期307-311,共5页
Journal of Hubei Minzu University(Natural Science Edition)
基金
国家自然科学基金资助项目(10771021)
湖南省教育厅科学研究优秀青年项目(06B003)
关键词
二维对流扩散方程
特征差分法
收敛分析
two - dimensional linear convection - diffusion equation
characteristic - difference algorithm
convergence analysis
