一类三阶奇异摄动差分方程渐近解法

A Method for Finding the Asymptotic Solution to a Class of Singularly Perturbed Third-order Difference Equations

本文提出了关于一类奇异摄动三阶差分方程问题的渐近解的求解新方法,并利用指数二分性对渐近解作了误差估计,文中还给出了一个具体的计算实例。

This paper proposes a new, method by which we can obtain an asymptotic solution to third-order singularly perturbed difference equations. The estimation of the error between the asymptotic solution and the accurate solu- tion is obtained using the exponential dichotomy theory. Finally, a concrete numerical example is illustrated.