Modified high-order upwind method for convection diffusion equation

被引：0
|
作者：
Zhao W.-D. [1 ]
Liang D. [2 ]
机构：
[1] School of Mathematics and System Sciences, Shandong University
[2] Department of Mathematics and Statistics, York University, Toronto, Ont. M3J 1P3
来源：
Acta Mathematicae Applicatae Sinica | 2002年 / 18卷 / 1期
关键词：
Convection diffusion; Error estimate; High-order upwind method;
D O I：
10.1007/s102550200011
中图分类号：
学科分类号：
摘要：
In this paper, we study the high-order upwind finite difference method for steady convection-diffusion problems. Based on the conservative convection-diffusion equation, a high-order upwind finite difference scheme on nonuniform rectangular partition for convection-diffusion equation is proposed. The proposed scheme is in conversation form, satisfies maximum value principle and has second-order error estimates in discrete H1 norm. To illustrate our conclusion, several numerical examples are given. © Springer-Verlag 2002.
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页码：131 / 146
页数：15
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