阿达姆斯公式的推导

The Deduce of Adams Formula

基于数值积分可以构造出一系列求解微分方程的计算公式,而在微分方程的数值解法中,阿达姆斯公式起着相当重要的作用,将通过牛顿向后差分公式、拉格朗日插值多项式、泰勒展开式等方法来推导阿达姆斯公式。

According to numberical integration,we can construct array computation formulas to solve differential eqution,And in the numberical solutions of differential eqution, Adams formula is rather important.This thesis will derive Adams formula according to newton interpolaion polynomial,lagrange interpolaion polynomial and Taylor＇s expansion.