On the stability of numerical methods for nonlinear Volterra integral equations

DOI10.1155/2010/862538zbMath1192.65162OpenAlexW2008734320WikidataQ58650657 ScholiaQ58650657MaRDI QIDQ980816

Yoshiaki Muroya, Antonia Vecchio, Elvira Russo, Eleonora Messina

Publication date: 29 June 2010

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223835

zbMATH Keywords

direct quadrature methodsnonlinear second kind Volterra integral equationVolterra-Runge-Kutta method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (3)

Optimal superconvergence results for Volterra functional integral equations with proportional vanishing delays ⋮ Nonlinear stability of direct quadrature methods for Volterra integral equations ⋮ Numerical simulation of a SIS epidemic model based on a nonlinear Volterra integral equation

Cites Work

• Numerical modelling of qualitative behaviour of solutions to convolution integral equations
• Asymptotic behavior of solutions for nonlinear Volterra discrete equations
• Fast Runge-Kutta methods for nonlinear convolution systems of Volterra integral equations
• Qualitative behaviour and stability of solutions of discretised nonlinear Volterra integral equations of convolution type
• On the Asymptotic Behavior of the Bounded Solutions of a Nonlinear Volterra Equation
• The Qualitative Behavior of a Nonlinear Volterra Equation
• Unnamed Item

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