A class of two-step continuity Runge-Kutta methods for solving singular delay differential equations

• 作 者: Leng Xin Liu Degui Song Xiaoqi
• 机 构: Beijing Inst. of Computer Application and Simulation Technology,Beijing Inst. of Applied Physics and
• 出 处: 系统工程与电子技术（英文版）
• 发表日期: 2004年期
• 关键词: convergence singular delay differential equations two-step continuity Runge-Kutt

An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods (TSCRK) is presented. Their construction, their order conditions and their convergence are studied. The two-step continuity Runge-Kutta methods possess good numerical stability properties and higher stage-order, and keep the explicit process of computing the Runge-Kutta stages. The numerical experiments show that the TSCRK methods are efficient.