%0 Journal Article %T 椭圆型奇异摄动问题差分格式的一致收敛性分析<br>ANALYSIS OF UNIFORM CONVERGENCE FOR DIFFERENCE SCHEME OF AN ELLIPTIC SINGULARLY PERTURBED PROBLEM %A 作者 %A 周琴 %J 数学杂志 %D 2015 %X 本文研究了一类椭圆型奇异摄动问题.利用Bakhvalov-Shishkin网格上的差分方法,获得了数值解一致一阶收敛于真解的结果.<br>In this article,we study an elliptic singularly perturbed problem.By using the difference method on the Bakhvalov-Shishkin mesh,we prove that the numerical solution is uniformly first-order convergent to the exact solution %K 奇异摄动 Bakhvalov-Shishkin网格 差分格式 比较定理 一致收敛< %K br> %K singular perturbation Bakhvalov-Shishkin mesh difference scheme comparison theory uniformly convergence %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150421&flag=1