Stability of delay integro-differential equations using a spectral element method

DOI10.1016/j.mcm.2011.06.009zbMath1235.65084OpenAlexW2026087060MaRDI QIDQ409942

Firas A. Khasawneh, Brian P. Mann

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.06.009

zbMATH Keywords

stabilitydelay equationsspectral elementdelay integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory of functional-differential equations (34K20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Stability theory for integral equations (45M10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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Cites Work

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• Isolated large amplitude periodic motions of towed rigid wheels
• Stability implications of delay distribution for first-order and second-order systems
• Delay effects in shimmy dynamics of wheels with stretched string-like tyres
• Stability properties of a scheme for the approximate solution of a delay- integro-differential equation
• Computing stability of differential equations with bounded distributed delays
• Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations
• Stability of Runge-Kutta methods for delay integro-differential equations
• A spectral element approach for the stability of delay systems
• Stabilizing effect of delay distribution for a class of second-order systems without instantaneous feedback
• Use of higher-order shape functions in the scaled boundary finite element method
• Subcritical Hopf bifurcations in a car-following model with reaction-time delay
• Stability of Traffic Flow Behavior with Distributed Delays Modeling the Memory Effects of the Drivers
• Computing the characteristic roots for delay differential equations
• Barycentric Lagrange Interpolation
• The numerical stability of barycentric Lagrange interpolation
• Semi-discretization method for delayed systems
• Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
• On the problem of linearization for state-dependent delay differential equations
• Consensus Problems with Distributed Delays, with Application to Traffic Flow Models
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions

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