摘要
本文利用最优化思想,根据一阶常微分方程数值解的收敛性和稳定性,引进最优化技术,确定最优系数,得到强稳定的三阶Runge-Kutta最优算法.
The numerical methods in first order difference equation and the convergence and stability of numerical solution in first order differential equation are studied in this paper.Accordin to Runge-kutta method,the optimal coefficients are determined by optimal technology,at the same time,the optimal algorithm of strongly stable Runge-kutta in three-step orderare got.
出处
《应用数学》
CSCD
北大核心
2005年第S1期57-61,共5页
Mathematica Applicata
关键词
数值解
强稳定
最优化
三阶Runge-Kutta法
Stability of numerical
Strongly stable
The optimal coefficients
Runge-Kutte in three-step order
