On the numerical algorithms of parametrization method for solving a two-point boundary-value problem for impulsive systems of loaded differential equations

DOI10.1007/s40314-018-0611-9zbMath1402.65070OpenAlexW2790827186MaRDI QIDQ1993484

Yanyan Li

Publication date: 5 November 2018

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

Full work available at URL: https://doi.org/10.1007/s40314-018-0611-9

zbMATH Keywords

numerical algorithmparametrization methodimpulse effectloaded differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (12)

A computational method for solving the boundary value problem for impulsive systems of essentially loaded differential equations ⋮ Problem with data on the characteristics for a loaded system of hyperbolic equations ⋮ Inverse problem for Whitham type multi-dimensional differential equation with impulse effects ⋮ On the solvability of a linear boundary value problem with impulse effects for differential system ⋮ On a solution of a nonlinear nonlocal boundary value problem for one class of hyperbolic equation ⋮ Nonlocal problem for fourth-order loaded hyperbolic equations ⋮ A numerical method for solving boundary value problem for essentially loaded differential equations ⋮ On the unique solvability of a family of boundary value problems for integro-differential equations of mixed type ⋮ On the unique solvability of a boundary value problem for systems of loaded integro-differential equations with involution ⋮ A family of two-point boundary value problems for loaded differential equations ⋮ A PROBLEM WITH PARAMETER FOR THE INTEGRO-DIFFERENTIAL EQUATIONS ⋮ A numerical solution of problem for essentially loaded differential equations with an integro-multipoint condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of BVPs for first order impulsive integro-differential equations
• Criteria for the well-posedness of a linear two-point boundary value problem for systems of integro-differential equations
• Nonlinear hybrid continuous/discrete-time models
• New comparison results for impulsive integro-differential equations and applications
• On one approach to solve the linear boundary value problems for Fredholm integro-differential equations
• Periodic boundary value problems for first order functional differential equations with impulse
• Maximum principles for the periodic boundary value problem for impulsive integro-differential equations
• New results for the periodic boundary value problem for impulsive integro-differential equations
• Asymptotic behavior of linear impulsive integro-differential equations
• Nonlinear boundary value problem for second order impulsive integro-differential equations of mixed type in Banach space
• Existence of solutions for anti-periodic boundary value problems of nonlinear impulsive functional integro-differential equations of mixed type
• Periodic boundary value problems for a class of second-order impulsive integro-differential equations in Banach spaces
• Periodic boundary value problems for first order impulsive integro-differential equations of mixed type
• Criteria for the unique solvability of a linear boundary-value problem for an ordinary differential equation
• Periodic boundary value problems for second order impulsive differential systems
• Principles of Discontinuous Dynamical Systems
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• On the numerical solution of loaded systems of ordinary differential equations with nonseparated multipoint and integral conditions
• Stability of periodic solutions of differential equations with impulse action on surfaces
• Periodic boundary value problems for second-order impulsive integro-differential equations

This page was built for publication: On the numerical algorithms of parametrization method for solving a two-point boundary-value problem for impulsive systems of loaded differential equations