Collocation methods for impulsive differential equations

DOI10.1016/j.amc.2013.11.085zbMath1364.65155OpenAlexW2045953892MaRDI QIDQ529923

Hui Liang, Zuhua Zhang

Publication date: 9 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.085

zbMATH Keywords

convergenceasymptotic stabilitycollocation methodssuperconvergenceimpulsive differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (12)

Asymptotical stability of Runge-Kutta methods for nonlinear impulsive differential equations ⋮ A novel method for nonlinear impulsive differential equations in broken reproducing kernel space ⋮ An efficient and robust numerical solver for impulsive control of fractional chaotic systems ⋮ An extrapolated CN-WSGD OSC method for a nonlinear time fractional reaction-diffusion equation ⋮ hp-Legendre–Gauss collocation method for impulsive differential equations ⋮ Piecewise reproducing kernel method for linear impulsive delay differential equations with piecewise constant arguments ⋮ Asymptotical stability of Runge-Kutta for a class of impulsive differential equations ⋮ Asymptotical stability of numerical methods for semi-linear impulsive differential equations ⋮ Numerical method and convergence order for second-order impulsive differential equations ⋮ On numerical approximation of a delay differential equation with impulsive self-support condition ⋮ Convergence, consistency and zero stability of impulsive one-step numerical methods ⋮ A high-order numerical scheme for the impulsive fractional ordinary differential equations

Cites Work

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• Stability of the analytic and numerical solutions for impulsive differential equations
• Numerical methods for impulsive differential equation
• The Euler scheme and its convergence for impulsive delay differential equations
• Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Collocation Methods for Volterra Integral and Related Functional Differential Equations

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