Stability analysis of Runge-Kutta methods for nonlinear impulsive differential equations

摘要：

This paper is devoted to the stability analysis of Runge-Kutta methods for nonlinear impulsive differential equations. A suf cient condition that the analytic solutions for the differential equations are asymptotically stable is derived. The condition that the numerical solutions preserve the stability of the analytic solutions are obtained and an numerical example is given to demonstrate the obtained result.

作者: Shufang Ma Yuangang Zu

作者单位: Department of mathematics. Northeast Forest University Harbin, 150040, P.R.China Key Laboratory of Forestry Plant Ecology Ministry of Education, Northeast Forest University Harbin,

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Advanced Computer Control(2011年IEEE第三届高端计算机控制国际会议 ICACC2011)

会议地点: 哈尔滨

会议语种:英文

页码: 483-486

在线出版日期: 2011-01-18（万方平台首次上网日期，不代表论文的发表时间）