Runge-Kutta methods for first-order periodic boundary value differential equations with piecewise constant arguments

DOI10.1016/J.CAM.2009.08.105zbMath1180.65094OpenAlexW1970706954WikidataQ60199407 ScholiaQ60199407MaRDI QIDQ1034654

J. Blot

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.105

zbMATH Keywords

Green's functioncomparison theoremsRunge-Kutta methodsdifferential equations with piecewise constant arguments

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (6)

Stability and oscillations of numerical solutions for differential equations with piecewise continuous arguments of alternately advanced and retarded type ⋮ Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments ⋮ Study of solutions to some functional differential equations with piecewise constant arguments ⋮ Stability analysis of parabolic partial differential equations with piecewise continuous arguments ⋮ The numerical asymptotically stability of a linear differential equation with piecewise constant arguments of mixed type ⋮ Existence, computability and stability for solutions of the diffusion equation with general piecewise constant argument

Cites Work

• Unnamed Item
• Retarded differential equations with piecewise constant delays
• Oscillations in systems of differential equations with piecewise constant argument
• Stability analysis of Runge-Kutta methods for unbounded retarded differential equations with piecewise continuous arguments
• Differential equations alternately of retarded and advanced type
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Contractivity of Runge-Kutta methods with respect to forcing terms
• Systems of differential equations of alternately retarded and advanced type
• Stability of Runge--Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0}u([t)\).]
• Green's function and comparison principles for first order periodic differential equations with piecewise constant arguments
• On Green's functions and positive solutions for boundary value problems on time scales
• Stability of Runge-Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0} u([t)+a_{1} u([t-1])\)]
• Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments
• Numerical solution of the Orr-Sommerfeld equation using the viscous Green function and split-Gaussian quadrature
• Oscillatory and periodic solutions of an equation alternately of retarded and advanced type
• An Equation Alternately of Retarded and Advanced Type

This page was built for publication: Runge-Kutta methods for first-order periodic boundary value differential equations with piecewise constant arguments