A convolution test equation for double delay integral equations

DOI10.1016/j.cam.2008.03.047zbMath1169.65123OpenAlexW2047200482MaRDI QIDQ1019662

Antonia Vecchio, Eleonora Messina, Elvira Russo

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.03.047

zbMATH Keywords

stabilityconvergencenumerical examplesVolterra integral equationsconvolution test equationdouble delay integral equationsdiscrete quadrature methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Related Items (6)

Methods of numerical analysis for some integral dynamical systems with delay arguments ⋮ Exponential stability and asymptotic periodic solutions of linear integral equations with two delays ⋮ Comparing analytical and numerical solution of a nonlinear two-delay integral equations ⋮ Existence and uniqueness of the solution for some double delay integral equations ⋮ Convergence of solutions for two delays Volterra integral equations in the critical case ⋮ Numerical analysis of a high order method for nonlinear delay integral equations

Cites Work

• On stability of Runge-Kutta methods for delay integral equations
• Stability criteria for certain delay integral equations of Volterra type
• The basic approach to age-structured population dynamics. Models, methods and numerics
• Stability analysis of age-structured population equations by pseudospectral differencing meth\-ods
• A stable numerical method for Volterra integral equations with discontinuous kernel
• Convergence and stability of quadrature methods applied to Volterra equations with delay
• The numerical stability of multistep methods for Volterra integral equations with many delays
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