Asymptotic stability of linear multistep methods for nonlinear neutral delay differential equations

DOI10.1016/j.amc.2009.01.028zbMath1400.65035OpenAlexW1973075722MaRDI QIDQ1021492

Peng Hu, Cheng-Ming Huang, Shu-Lin Wu

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.028

zbMATH Keywords

asymptotic stabilitylinear multistep methodsnonlinear neutral delay differential equationsa-stableGAS-stable

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (9)

Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space ⋮ A new method based on the RKHSM for solving systems of nonlinear IDDes with proportional delays ⋮ Modified variational iteration method for solving a neutral functional‐differential equation with proportional delays ⋮ Unnamed Item ⋮ Stability and convergence of the two parameter cubic spline collocation method for delay differential equations ⋮ The RKHSM for solving neutral functional–differential equations with proportional delays ⋮ Integration processes of delay differential equation based on modified Laguerre functions ⋮ Analytical and numerical stability of nonlinear neutral delay integro-differential equations ⋮ The variational iteration method for solving a neutral functional-differential equation with proportional delays

Uses Software

• RODAS

Cites Work

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• Nonlinear stability of general linear methods for delay differential equations
• Stability of numerical methods for delay differential equations
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Contractivity of Runge-Kutta methods with respect to forcing terms
• On the contractivity and asymptotic stability of systems of delay differential equations of neutral type
• Stability analysis of Runge-Kutta methods for nonlinear delay differential equations
• Stability and error analysis of one-leg methods for nonlinear delay differential equations
• Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations
• Numerical stability of nonlinear delay differential equations of neutral type
• Asymptotic stability of multistep methods for nonlinear delay differential equations
• Nonlinear stability of one-leg methods for delay differential equations of neutral type
• Nonlinear stability of Runge-Kutta methods for neutral delay differential equations
• G-stability is equivalent toA-stability

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