hp-Legendre–Gauss collocation method for impulsive differential equations

DOI10.1080/00207160.2015.1099632zbMath1369.65096OpenAlexW2308953129MaRDI QIDQ5737857

Hui Liang

Publication date: 30 May 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1099632

zbMATH Keywords

convergencenumerical exampleerror estimateimpulsive differential equation\(hp\) methodLegendre-Gauss collocation 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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (3)

A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations ⋮ Impulsive continuous Runge-Kutta methods for impulsive delay differential equations ⋮ Convergence, consistency and zero stability of impulsive one-step numerical methods

Cites Work

• Unnamed Item
• Collocation methods for impulsive differential equations
• 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
• A Legendre-Gauss collocation method for nonlinear delay differential equations
• Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations
• Legendre-Gauss collocation methods for ordinary differential equations
• On the general problem of stability for impulsive differential equations.
• Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations
• Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
• Spectral Methods
• Extinction and permanence of the predator–prey system with stocking of prey and harvesting of predator impulsively
• hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations

This page was built for publication: hp-Legendre–Gauss collocation method for impulsive differential equations