三角拟合解振荡微分方程的修正的预估校正方法

Trigonometrically Fitted Modified Predictor-corrector Scheme for IVPs with Oscillating Solutions

以一类修正的预估校正Adams方法为基础,构造了新的三角拟合方法,给出新方法的局部截断误差,同时对新方法作了稳定性分析。数值实验的结果表明这个新方法较原始的修正的预估校正Adams方法及其它一些常用的方法在处理振荡问题时具有明显的高效性。

A scheme of trigonometrically fitted method which is based on the fifth order modified is constructed apredictor-corrector method,the LTE of the new method is analyzed,and the region of absolute stability of our new method is presented.Some numerical experiments show the new trigonometrically fitted method is more efficient than the original method and some well-known methods used for the numerical solution of initial value problems with oscillating solutions.