摘要
本文考虑如下一类具转向点椭圆型方程奇异摄动问题的数值解法文［１］已经研究了该问题的渐近解．本文在得到渐近解余项的更好估计式后，证明了所构造的差分格式关于小参数ε的一致收敛结果．误差估计达到α阶，其中．
In this paper, we consider the numerical solution for a class of singUlarly perturbed elliptic equation with turning points as follows The peper [1] has studied the aspoptotic solution of this problem. After obtaining a better result about estimation of the remainder, we prove the uniform convergence on the small parameter E for a difference scheme. The estimate error is of order or which is in (0, ).
出处
《系统科学与数学》
CSCD
北大核心
1996年第4期326-330,共5页
Journal of Systems Science and Mathematical Sciences
关键词
数值解
转向点
差分格式
椭圆型方程
奇摄动
Numerical solution
singularly perturbed problem
turning point
differenceScheme
uniform convergence.
