一类求解奇异延迟微分方程的两步连续Runge-Kutta方法的收敛性

THE CONVERGENCE OF A CLASS OF TWO-STEP CONTINUITY RUNGE-KUTTA METHODS FOR SOLVING SINGULAR DELAY DIFFERENTIAL EQUATIONS

本文给出了一类求解延迟落在当前积分步内延迟微分方程的两步连续Runge-Kutta方法。在一定条件下我们证明了方法收敛性,数值试验表明方法是有效的。

In this paper, a class of two-step continuity P^unge-Kutta（TSCRK） methods for solving delay differential equations where delay lies in the span of the current step is presented. Under certain conditions, we prove the convergence property of the method. Some examples show the efficiency of the method.