Linear Multistep Methods for Impulsive Differential Equations

نویسندگان

  • X. Liu
  • M. H. Song
  • M. Z. Liu
  • Leonid Shaikhet
چکیده

This paper deals with the convergence and stability of linear multistep methods for impulsive differential equations. Numerical experiments demonstrate that both the mid-point rule and twostep BDFmethod are of order p 0when applied to impulsive differential equations. An improved linear multistep method is proposed. Convergence and stability conditions of the improved methods are given in the paper. Numerical experiments are given in the end to illustrate the conclusion.

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تاریخ انتشار 2014