Convergence of the Euler Method for Impulsive Neutral Delay Differential Equations

Abstract

In this paper, we are concerned with a fixed stepsize Euler method for a class of linear impulsive neutral delay differential equations. By taking the partition nodes for the Euler scheme and employing the linear interpolation, we strictly prove the method is convergent of order one. Two examples illustrating the efficiency results are also presented.

Keywords

• impulsive neutral delay differential equation
• the Euler method
• convergence