A New Numerical Method for Solving Convection-Diffusion Equations

被引：0
|
作者：
Ding, Hengfei [1 ]
Zhang, Yuxin [1 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741000, Peoples R China
来源：
NONLINEAR MATHEMATICS FOR UNCERTAINTY AND ITS APPLICATIONS | 2011年 / 100卷
关键词：
Convection-diffusion equation; Difference scheme; High accuracy; System of ODEs; APPROXIMATION;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we using semi-discrete method, transformed convection-diffusion equation into a ODEs: dU(t)/dt = AU(t), then we get the solution of the ODEs: U(t) = e(tA)U(0). Furthermore, we give a numerical approximation for e(tA) and get a special difference scheme for solving the convection-diffusion equation which improve the accuracy order and stability condition greatly. The accuracy order is fourth order and second order in space and time direction respectively. Finally, numerical result shows that this method is effective.
引用
收藏
页码：463 / 470
页数：8
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