求解y″=f(x,y)具有最大周期区间的一类最佳方法  

A CLASS OF OPTIMAL METHODS WITH THE LARGEST PERIODIC INTERVAL FOR SOLVING DIFFERENTIALEQUATION y'' = f(x,y)

作　　者：包雪松[1] 徐洪义 

机构地区：[1]南京大学

出　　处：《高等学校计算数学学报》1991年第2期164-172,共9页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金

摘　　要：1 引言 考虑二阶特殊常微分方程的初值问题以及线性多步方法In many published papers such like [1], [2], [3], [4] numerical methods for solving differential equation yn = f(x,y) and its stability are investigated. The content of this paper is to give a general optimal method for solving such special equation. Furthermore for the cases k= 2, 4, 6, 8,10 optimal methods are constructed, which contain the largest periodic stability interval.

关 键 词：微分方程 线性多步法 周期区间 

分 类 号：O241.81[理学—计算数学]