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.
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