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, ).