A CLASS OF TWO-STEP CONTINUITY RUNGE-KUTTA METHODS FOR SOLVING SINGULAR DELAY DIFFERENTIAL EQUATIONS AND ITS STABILITY ANALYSIS

• 来源期刊: 计算数学（英文版）
• 关键词: Analysis of numerical stability Singular delay differential equations Two-step continuity Runge-Kutta methods
• 年，卷（期）: 2005,（6）
• 页码范围: 647-656
• 页数: 10页
• 语种: 英文

摘要

In this paper, a class of two-step continuity Runge-Kutta(TSCRK) methods for solving singular delay differential equations(DDEs) is presented. Analysis of numerical stability of this methods is given. We consider the two distinct cases: (i)τ≥ h, (ii)τ＜ h, where the delay τ and step size h of the two-step continuity Runge-Kutta methods are both constant.The absolute stability regions of some methods are plotted and numerical examples show the efficiency of the method.