常微分方程初值问题若干数值方法的分析比较  

Analysis and comparison of some numerical methods for the initial value problem of ordinary differential equations

作　　者：罗幼芝[1] 

机构地区：[1]长沙民政职业技术学院文法系,湖南长沙410004

出　　处：《重庆工商大学学报（自然科学版）》2005年第2期185-190,共6页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：讨论了常微分方程初值问题的一些数值方法,导出了若干种数值方法, 如显式Eul er法、隐式Euler法、θ-法、预报-修正法、龙格-库塔法等, 并对这些数值方法进行了分析比较, 最后给出了相应的数值例子.In this paper, some numerical methods for the initial value problems of ordinary differential equations are mainly discussed. Some numerical methods are derived, such as Euler explicit scheme, Euler implicit scheme,θ-scheme, predictor-corrector scheme and Runge-Kutta schemes. Analysis and comparison of these methods are given. Finally, some numerical examples are presented.

关 键 词：常微分方程 数值方法 分析比较 初值问题 隐式EULER法 龙格-库塔法 修正法 显式 

分 类 号：O175.1[理学—数学] O241.81[理学—基础数学]