奇异摄动方程的样条函数解法

A Method to Find Spline Function Approximation for Singularly Perturbed Equations

本文对二阶奇异摄动方程的边值问题，提出了一种新的样条函数配点法，使得新的样条函数解仍然保持良好的逼近，且在ε→０时与方程解有相同的渐近性态．

This paper proposes a new match-point method of spline function solution to the boundary-value question of the two-order singularly perturbed equation. The method enables the solution of the new spline function to keep good approach. When ε→0, the approximate solution has the same asymptotic behavior as the solution of the equation.