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Research Article Open access CC BY 4.0

Study of Numerical Stability for Neutral Differential Equations with Delay by Θ- Method

A. Moussaid, H. Talibi Alaoui

Current Journal of Applied Science and Technology · pp. 1–11 · Published 7 Nov 2015

10.9734/BJAST/2016/18914

Abstract

This paper discusses numerical asymptotic stability in certain neutral delay differential Equations (NDDEs) by θ -method discretization for θ ∈ [0, 1]. We give necessary and sufficient conditions on the parameters, to obtain the numerical asymptotic stability, preserving the exact asymptotic stability conditions.  

Neutral delay differential equation θ -method discretization characteristic equation asymptotic stability

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