The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations

DOI10.1007/s00607-010-0103-2zbMath1203.65289OpenAlexW2012962588MaRDI QIDQ708826

Jie Jin, Tingting Qin, Cheng-Jian Zhang

Publication date: 14 October 2010

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-010-0103-2

zbMATH Keywords

numerical examplesnonlinear stabilityalgebraic stabilityneutral delay-integro-differential equationsPouzet-Runge-Kutta methods

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (5)

Dissipativity of extended Pouzet–Runge–Kutta methods for neutral delay 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 ⋮ Convergence of Runge-Kutta methods for neutral delay integro-differential equations ⋮ Convergence of one-leg methods for neutral delay integro-differential equations

Uses Software

• RODAS

Cites Work

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• An improvement of the numerical stability results for nonlinear neutral delay-integro-differential equations
• 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
• The extended one-leg methods for nonlinear neutral delay-integro-differential equations
• 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
• Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations
• A stable numerical approach for implicit non-linear neutral delay differential equations
• Stability of solutions of delay functional integro-differential equations and their discretizations
• 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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