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计算数学  2006 

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

Keywords: convergence,singular delay differential equations,two-step continuity Runge-Kutta method
收敛性
,奇异延迟微分方程,两步连续Runge-Kutta方法

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Abstract:

In this paper, a class of two-step continuity Runge-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.

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