摘要
研究了具有非局部边界的奇异摄动问题· 对于正的小摄动参数 ,其解显示出边界层特性· 为了求解该问题 ,构造了非等距网格上的指数型有限差分· 还给出了小参数时的一致收敛性分析 ,同时给出了一个数值例子·
Singularly perturbed boundary value problem with nonlocal conditions is examined. The appopriate solution exhibits boundary layer behavior for small positive values of the perturbative parameter. An exponentially fitted finite difference scheme on a non_equidistant mesh is constructed for solving this problem. The uniform convergence analysis in small parameter is given. Numerical example is provided, too.
出处
《应用数学和力学》
EI
CSCD
北大核心
2002年第7期673-681,共9页
Applied Mathematics and Mechanics
关键词
指数型差分格式
奇异摄动
非局部边界条件
exponentially fitted difference scheme
singular perturbation
nonlocal boundary condition
