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

A. Moussaid; H. Talibi Alaoui

doi:10.9734/BJAST/2016/18914

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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A. Moussaid, H. Talibi Alaoui (2015). Study of Numerical Stability for Neutral Differential Equations with Delay by Θ- Method. Current Journal of Applied Science and Technology , 1–11. https://doi.org/10.9734/BJAST/2016/18914

Affiliations

A. Moussaid — Department of Mathematics, Faculty of Science, University Chouaib Doukkali, BP. 20, 24000, El Jadida, Morocco
H. Talibi Alaoui — Department of Mathematics, Faculty of Science, University Chouaib Doukkali, BP. 20, 24000, El Jadida, Morocco

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