解周期初值问题的三角拟合显式三步方法

摘要

A trigonometrically fitted explicit three-step method is developed based on an explicit three-step meth⁃od for periodic initial value problems. Stability of the new derived method is analyzed and the numerical illustra⁃tions show that the new method is more efficient than some well-known methods.%　　以一类解二阶微分方程的显式三步方法为基础，构造了一个三角拟合显式三步方法，给出了新方法的局部截断误差，对新方法做出了稳定性分析，数值实验的结果表明新方法在求解周期性初值问题的微分方程时具有明显高效性