一类带小参数的非线性常微分方程的有限元素法

A Finite Element Method for a Singular Perturbed Two-point Boundary Value Problem

讨论一类边界固定带有奇异摄动的二阶常微分方程,通过引进离散Green函数及有限元素方法,得到了在等距网格上的一致收敛性,其结点误差为O(h2).

In this paper, some second ordinary differential equation with two-point fixed boundary and singular pertubation is examined. By using finite elements and a discrete Green's function, a uniform second order accurate is obtained on an equidistant mesh of width h. i.e. The nodal errors are bounded by Ch^2, here C is independent of h and ε