Stability analysis of Runge-Kutta methods for nonlinear neutral delay integro-differential equations

DOI10.1007/s11425-007-2043-7zbMath1126.65068OpenAlexW2127749378MaRDI QIDQ995684

Yuexin Yu, Shou-fu Li

Publication date: 10 September 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-2043-7

zbMATH Keywords

stabilitynumerical exampleasymptotic stabilityRunge-Kutta methodsnonlinear neutral delay integro-differential equations

Mathematics Subject Classification ID

Related Items (8)

Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations ⋮ Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations ⋮ Stability analysis of one-leg methods for nonlinear neutral delay integrodifferential equations ⋮ Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations ⋮ Numerical dissipativity of neutral integro-differential equations with delay ⋮ The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations ⋮ An improvement of the numerical stability results for nonlinear neutral delay-integro-differential equations ⋮ Convergence of one-leg methods for nonlinear neutral delay integro-differential equations

Cites Work

• \(B\)-theory of Runge-Kutta methods for stiff Volterra functional differential equations
• Stability of numerical methods for delay differential equations
• Stability analysis of Runge-Kutta methods for nonlinear delay differential equations
• Introduction to functional differential equations
• The asymptotic stability of one-parameter methods for neutral differential equations
• \(B\)-theory of general linear methods for Volterra functional differential equations
• Retarded differential equations
• Stability analysis of solutions to nonlinear stiff Volterra functional differential equations in Banach spaces
• Non-linear stability of a general class of differential equation methods
• Numerical Methods for Delay Differential Equations
• Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations

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