Linear Multistep Methods for Impulsive Differential Equations
Copyright policy )Linear Multistep Methods for Impulsive Differential Equations
This paper deals with the convergence and stability of linear multistep methods for impulsive differential equations. Numerical experiments demonstrate that both the mid‐point rule and two‐step BDF method are of order p = 0 when applied to impulsive differential equations. An improved linear multistep method is proposed. Convergence and stability conditions of the improved methods are given in the paper. Numerical experiments are given in the end to illustrate the conclusion.
- Chinese Academy of Sciences China (People's Republic of)
- Harbin Institute of Technology China (People's Republic of)
convergence, Nonlinear ordinary differential equations and systems, stability, two-step backward differentiation formula method, impulsive differential equations, Numerical methods for initial value problems involving ordinary differential equations, Ordinary differential equations with impulses, mid-point rule, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, QA1-939, linear multistep methods, numerical experiments, Stability and convergence of numerical methods for ordinary differential equations, Mathematics
convergence, Nonlinear ordinary differential equations and systems, stability, two-step backward differentiation formula method, impulsive differential equations, Numerical methods for initial value problems involving ordinary differential equations, Ordinary differential equations with impulses, mid-point rule, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, QA1-939, linear multistep methods, numerical experiments, Stability and convergence of numerical methods for ordinary differential equations, Mathematics
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