A class of new Pouzet-Runge-Kutta-type methods for nonlinear functional integro-differential equations

DOI10.1155/2012/642318zbMath1237.65146OpenAlexW2050843956WikidataQ58695765 ScholiaQ58695765MaRDI QIDQ417179

Cheng-Jian Zhang

Publication date: 14 May 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/642318

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05)

Related Items (3)

The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations ⋮ Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations ⋮ DELAY-DEPENDENT STABILITY OF RUNGE-KUTTA METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS

Uses Software

• RODAS

Cites Work

• 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
• High-order collocation methods for singular Volterra functional equations of neutral type
• Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
• Nonlinear stability of Runge-Kutta methods for neutral delay integro-differential equations
• The dicretization of neutral functional integro-differential equations by collocation methods
• Stability of solutions of delay functional integro-differential equations and their discretizations
• A perspective on the numerical treatment of Volterra equations
• A generalized Halanay inequality for stability of nonlinear neutral functional differential equations
• 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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