Title :
Stability analysis of Runge-Kutta methods for nonlinear impulsive differential equations
Author :
Ma, Shufang ; Zu, YuanGang
Author_Institution :
Dept. of Math., Northeast Forest Univ., Harbin, China
Abstract :
This paper is devoted to the stability analysis of Runge-Kutta methods for nonlinear impulsive differential equations. A sufficient 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.
Keywords :
Runge-Kutta methods; asymptotic stability; nonlinear differential equations; Runge-Kutta methods; asymptotic stability analysis; nonlinear impulsive differential equations; Equations;
Conference_Titel :
Advanced Computer Control (ICACC), 2011 3rd International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-8809-4
Electronic_ISBN :
978-1-4244-8810-0
DOI :
10.1109/ICACC.2011.6016459
