The improved linear multistep methods for differential equations with piecewise continuous arguments

DOI10.1016/j.amc.2010.10.006zbMath1206.65184OpenAlexW2132021061MaRDI QIDQ618097

Sumit K. Garg

Publication date: 14 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.006

zbMATH Keywords

convergencenumerical experimentsdelay differential equationAdams-Bashforth methodpiecewise continuous argumentsimproved linear multistep methods

Mathematics Subject Classification ID

Related Items (10)

Stability ofθ-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type ⋮ Convergence and stability of the one-leg θ method for stochastic differential equations with piecewise continuous arguments ⋮ Stability analysis of parabolic partial differential equations with piecewise continuous arguments ⋮ Stability of numerical solution for partial differential equations with piecewise constant arguments ⋮ Asymptotic stability of Runge-Kutta methods for nonlinear differential equations with piecewise continuous arguments ⋮ Runge–Kutta Methods for Systems of Differential Equation with Piecewise Continuous Arguments: Convergence and Stability ⋮ Block boundary value methods applied to functional 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 \(u'(t)=Lu(t)+Mu([t)\)] ⋮ Analytical and numerical stability of partial differential equations with piecewise constant arguments

Cites Work

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• Retarded differential equations with piecewise constant delays
• Advanced differential equations with piecewise constant argument deviations
• Stability of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments
• Stability of Runge--Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0}u([t)\).]
• Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments
• Stability of Runge-Kutta methods for the alternately advanced and retarded differential equations with piecewise continuous arguments

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