• DocumentCode
    3270324
  • 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
  • fYear
    2011
  • fDate
    18-20 Jan. 2011
  • Firstpage
    483
  • Lastpage
    486
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • 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
  • Type

    conf

  • DOI
    10.1109/ICACC.2011.6016459
  • Filename
    6016459
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3270324