Linear multistep methods for impulsive differential equations

DOI10.1155/2012/652928zbMath1248.65076OpenAlexW2119741456WikidataQ58700688 ScholiaQ58700688MaRDI QIDQ444278

Xing Liu, Minghui Song, Ming-Zhu Liu

Publication date: 14 August 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/652928

zbMATH Keywords

stabilityconvergencenumerical experimentslinear multistep methodsimpulsive differential equationsmid-point ruletwo-step backward differentiation formula method

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Asymptotical stability of Runge-Kutta methods for nonlinear impulsive differential equations ⋮ Linear multistep methods for impulsive delay differential equations ⋮ Analytic and numerical exponential asymptotic stability of nonlinear impulsive differential equations ⋮ Piecewise reproducing kernel method for linear impulsive delay differential equations with piecewise constant arguments ⋮ Stability analysis of analytical and numerical solutions to nonlinear delay differential equations with variable impulses ⋮ Analytic and numerical stability of delay differential equations with variable impulses ⋮ Asymptotical stability of numerical methods for semi-linear 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

Cites Work

• Numerical methods for impulsive differential equation
• Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations
• On the general problem of stability for impulsive differential equations.
• Uniform asymptotic stability of impulsive delay differential equations
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