An improvement of the numerical stability results for nonlinear neutral delay-integro-differential equations

DOI10.1016/j.amc.2009.05.048zbMath1177.65197OpenAlexW2076430626MaRDI QIDQ732388

Tingting Qin, Jie Jin, Cheng-Jian Zhang

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.048

zbMATH Keywords

numerical stabilityRunge-Kutta methodsnonlinear neutral delay integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Neutral functional-differential equations (34K40)

Related Items (8)

The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations ⋮ A class of new Pouzet-Runge-Kutta-type methods for nonlinear functional integro-differential equations ⋮ Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations ⋮ Stability analysis of one-leg methods for nonlinear neutral delay integrodifferential equations ⋮ Convergence of Runge-Kutta methods for neutral delay integro-differential equations ⋮ Convergence of one-leg methods for neutral delay integro-differential equations ⋮ Analytical and numerical stability of nonlinear neutral delay integro-differential equations ⋮ The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations

Uses Software

• RODAS

Cites Work

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• Nonlinear stability of Runge-Kutta methods for neutral delay integro-differential equations
• Stability analysis of Runge-Kutta methods for nonlinear neutral delay integro-differential equations
• Stability analysis of Runge-Kutta methods for nonlinear delay differential equations
• Stability of solutions of delay functional integro-differential equations and their discretizations
• Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization.
• Non-linear stability of a general class of differential equation methods
• Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• General Linear Methods for Volterra Integro-differential Equations with Memory

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