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

作　　者：Xin Leng De-gui Liu Xiao-qiu Song Li-rong Chen 

机构地区：[1]Beijing Institute of Computer Application and Simulation Technology, 100854, China [2]Beijing Institute of Applied Physics and Computational Mathematics, 100088, China

出　　处：《Journal of Computational Mathematics》2005年第6期647-656,共10页计算数学（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.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.

关 键 词：Analysis of numerical stability Singular delay differential equations Two-step continuity Runge-Kutta methods 

分 类 号：O175[理学—数学]