Generalized Lax-Friedrichs Scheme for Convective-Diffusion Equation

被引：0

作者：

Tong, Wei ^{[1
]}

Wu, Yun ^{[1
]}

机构：

[1] Jiujiang Univ, Coll Sci, Jiujiang 332005, Peoples R China

来源：

INFORMATION COMPUTING AND APPLICATIONS, PT 1 | 2012年 / 307卷

关键词：

generalized Lax-Friedrichs (LxF) scheme; modified equation analysis; oscillations; numerical dissipation; numerical damping; numerical viscosity;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new type of generalized Lax-Friedrichs scheme for the convective-diffusion equation u(t) + au(x) = epsilon u(xx)(a is an element of R, epsilon > 0) is given and analyzed. For the convection term, the scheme use generalized Lax-Friedrichs scheme. For the diffusion term, it uses implicit central difference scheme. The scheme is discussed by applying modified equation analysis, in order to find the relative phase error, numerical dissipation, numerical viscosity, numerical damping and oscillations.

引用

页码：321 / 328

页数：8

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