Numerical Stability of the Runge-Kutta Methods for Equations u′(t) = au(t)+bu([K/N*t]) in Science Computation

• 作者: Xianhua Song Yingchun Song
• 来源期刊: 国际计算机前沿大会会议论文集
• 学科: 教育
• 关键词: The UNBOUNDED retarded differential EQUATIONS PIECEWISE continuous arguments RUNGE-KUTTA methods Asymptotic stability
• 年，卷（期）: 2016,（1）
• 页码范围: 131-133
• 页数: 3页
• 分类号: G633.41

摘要

Differential equation has widely applied in science and engineering calculation. Runge Kutta method is a main method for solving differential equations. In this paper, the numerical properties of Runge-Kutta methods for the equation u′(t) = au(t)+bu([K/N* t]) is dealed with, where K and N is relatively prime and K < N,K,N∈ Z+. The conditions are obtained under which the numerical solutions preserve the analytical stability properties of the analytic ones and some numerical experiments are given.