Study of Numerical Stability for Neutral Differential Equations with Delay by Θ- Method
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
*Author to whom correspondence should be addressed.
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.
Keywords: Neutral delay differential equation, θ -method discretization, characteristic equation, asymptotic stability