Stability of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments

DOI10.1016/j.amc.2006.07.158zbMath1175.65088OpenAlexW2053093086MaRDI QIDQ884612

Zhanwen Yang, Wanjin Lv, Ming-Zhu Liu

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.158

zbMATH Keywords

numerical experimentsasymptotic stabilitydelay differential equationneutral differential equationspiecewise continuous argumentsEuler-Maclaurin methodsnumerical asymptotic stability

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Neutral functional-differential equations (34K40)

Related Items (12)

Preservation of stability and oscillation of Euler-Maclaurin method for differential equation with piecewise constant arguments of alternately advanced and retarded type ⋮ Euler-Maclaurin method for linear differential equations with piecewise constant arguments with one delay: stability and oscillations ⋮ The improved linear multistep methods for differential equations with piecewise continuous arguments ⋮ Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments ⋮ Stability of Runge-Kutta methods for linear impulsive delay differential equations with piecewise constant arguments ⋮ Stability analysis of Runge–Kutta methods for differential equations with piecewise continuous arguments of mixed type ⋮ Asymptotic stability of Runge-Kutta methods for nonlinear differential equations with piecewise continuous arguments ⋮ The numerical asymptotically stability of a linear differential equation with piecewise constant arguments of mixed type ⋮ Stability analysis of Runge-Kutta methods for systems \(u'(t)=Lu(t)+Mu([t)\)] ⋮ Exploration on robustness of exponentially global stability of recurrent neural networks with neutral terms and generalized piecewise constant arguments ⋮ Extended block boundary value methods for neutral equations with piecewise constant argument ⋮ Analytical and numerical stability of partial differential equations with piecewise constant arguments

Cites Work

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• Pseudo-almost periodic solutions of second-order neutral delay differential equations with piecewise constant argument
• Oscillatory and asymptotic properties of nonlinear first order neutral differential equations with piecewise constant argument

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