Exact finite difference scheme for an advection equation having square-root dynamics

被引：9

作者：

Mickens, Ronald E. ^{[1
]}

机构：

[1] Clark Atlanta Univ, Dept Phys, Atlanta, GA 30314 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2008年 / 14卷 / 10-11期

关键词：

nonstandard finite difference schemes; exact finite difference schemes; advection; nonlinear PDE's;

D O I：

10.1080/10236190802332209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the construction of an exact finite difference scheme for an advectioning system whose dynamics contains the square-root of the dependent variable. A comparison is made between this discretization and the one obtained using standard rules.

引用

页码：1149 / 1157

页数：9