衡水学院学报
衡水學院學報
형수학원학보
JOURNAL OF HENGSHUI UNIVERSITY
2014年
4期
23-26
,共4页
数值解%Runge-Kutta法%变步长的Runge-Kutta法%自适应
數值解%Runge-Kutta法%變步長的Runge-Kutta法%自適應
수치해%Runge-Kutta법%변보장적Runge-Kutta법%자괄응
numerical solution%Runge-Kutta Method%variable step Runge-Kutta method%self-adaption
根据一阶常微分方程数值解的收敛性与稳定性，从固步长的Runge-Kutta法出发，考虑变步长的Runge-Kutta法，讨论了3种改进算法，即折半步长Runge-Kutta法、Runge-Kutta-Fehlberg法和Zadunaisky方法。并且分别讨论了3种变步长的Runge-Kutta法的精度及效率。
根據一階常微分方程數值解的收斂性與穩定性，從固步長的Runge-Kutta法齣髮，攷慮變步長的Runge-Kutta法，討論瞭3種改進算法，即摺半步長Runge-Kutta法、Runge-Kutta-Fehlberg法和Zadunaisky方法。併且分彆討論瞭3種變步長的Runge-Kutta法的精度及效率。
근거일계상미분방정수치해적수렴성여은정성，종고보장적Runge-Kutta법출발，고필변보장적Runge-Kutta법，토론료3충개진산법，즉절반보장Runge-Kutta법、Runge-Kutta-Fehlberg법화Zadunaisky방법。병차분별토론료3충변보장적Runge-Kutta법적정도급효솔。
Based on the convergence and stability of the numerical solution of a differential equation, from a solid step Runge-Kutta method, it has considered variable step Runge-Kutta method. Three modified algorithm are discussed. They are step reduced by half Runge-Kutta method, Runge-Kutta-Fehlberg method and Zadunaisky method. At the same time, the accuracy and efficiency of variable step Runge-Kutta method are discussed.
