四阶常微分方程奇异摄动问题的二阶精度差分解法

Second-Order Accurate Difference Method for the Singularly Perturbed Problem of Fourth-Order Ordinary Differential Equations '

本文对一类四阶常微分方程边值问题建立了二阶一致精度的差分格式.本格式对步长h具有O(h^2)阶的精度,大大改进了[1]的结果。

In this paper, we construct a uniform second-order difference scheme for a class of boundary value problems of fourth-order ordinary differential equations. Finally, a numerical example is given.