Stability of Runge-Kutta methods for the alternately advanced and retarded differential equations with piecewise continuous arguments

DOI10.1016/J.CAMWA.2006.07.018zbMath1140.65057OpenAlexW2031133716MaRDI QIDQ2460589

Ming-Zhu Liu, Zhanwen Yang, Wanjin Lv

Publication date: 12 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.07.018

zbMATH Keywords

convergencenumerical examplesasymptotic stabilitynumerical stabilityRunge-Kutta methods\((r,s)\)-Padé approximation to \(e^x\)alternately advanced and retarded differential equations

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) 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) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (5)

Stability and oscillations of numerical solutions for differential equations with piecewise continuous arguments of alternately advanced and retarded type ⋮ The improved linear multistep methods for differential equations with piecewise continuous arguments ⋮ Stability analysis of parabolic partial differential equations with piecewise continuous arguments ⋮ Asymptotic stability of Runge-Kutta methods for nonlinear differential equations with piecewise continuous arguments ⋮ Runge–Kutta Methods for Systems of Differential Equation with Piecewise Continuous Arguments: Convergence and Stability

Uses Software

• RODAS

Cites Work

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