一类二阶奇异摄动边值问题的数值解法

Numerical solution of second order singular-perturbed boundary-value problems

研究一类奇异摄动边值问题的数值解,构建了基于级数展开的多步法,其最高精度可达O(h6),较以往的样条、差分等方法求解该问题,有较低的误差,数值结果显示了该方法的优越性。

The paper studies the numerical solution of singular-perturbed boundary problems. By using Taylor series expansion, the multistep method is obtained. Its precision is up to six. It also has less errors than other spline and difference methods. The numerical result proves its advantages.