含有小参数的守恒型方程的守恒型差分格式

Conservative Difference Scheme of Conservative Equation with a Small Parammeter

本文研究含有小参数的守恒型方程,证明相应的守恒型格式为一阶一致收敛。当边界条件退化为第一边值条件时,一致收敛性可进一步提高。

This paper deals with conservative equation with a small parammeter.The corresponding conservative difference scheme is proved to be first order uniformly convergent.The uniform conver- gence can be further improved when the boundary condition degenerates into first boundary condition.