RTFHM应用于DDE实时数值仿真及数值稳定性分析

Real-Time Simulation of DDEs by Using RTFHM and Analysis of Numerical Stability

几年前 ,有人分别从不同的角度构造了一类用常微分方程描述的动力学系统的实时仿真快速混合算法RTFHM ,将这类算法应用到延迟微分方程的实时数值仿真 ,并讨论了对线性常系数延迟微分方程测试模型的数值稳定性。数值试验结果表明 ,RTFHM对线性和非线性的非刚性延迟微分方程都是有效的。

Several years ago a class of real-time fast hybrid simulation methods (RTFHM) has been constructed. The methods are applied to solve delay differential equations in this paper. And the numerical stability of the hybrid methods is discussed for test model of delay differential equations with linear and constant coefficient. Numerical experiments show that RTFHM is efficient for solving linear and nonlinear non-stiff delay differential equations.