Convergence of the Euler Method for Impulsive Neutral Delay Differential Equations

Yang Sun, Gui-Lai Zhang (), Zhi-Wei Wang and Tao Liu
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Yang Sun: College of Sciences, Northeastern University, Shenyang 110819, China
Gui-Lai Zhang: College of Sciences, Northeastern University, Shenyang 110819, China
Zhi-Wei Wang: College of Sciences, Northeastern University, Shenyang 110819, China
Tao Liu: College of Sciences, Northeastern University, Shenyang 110819, China

Mathematics, 2023, vol. 11, issue 22, 1-14

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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