Superconvergent interpolants for collocation methods applied to Volterra integro-differential equations with delay

DOI10.1007/s10543-012-0373-5zbMath1255.65250OpenAlexW1982585708MaRDI QIDQ1759579

Mohammad Shakourifar, W. H. Enright

Publication date: 21 November 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-012-0373-5

zbMATH Keywords

numerical resultssuperconvergenceorder conditionspredator-prey systembootstrappingpiecewise polynomial collocationdelay Volterra integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (11)

Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation ⋮ The linear barycentric rational method for a class of delay Volterra integro-differential equations ⋮ Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic ⋮ Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay ⋮ An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for Volterra delay-integro-differential equations ⋮ Numerical Analysis and Computational Solution of Integro-Differential Equations ⋮ Post-processing discontinuous Galerkin solutions to Volterra integro-differential equations: analysis and simulations ⋮ An \(h\)-\(p\) version of the discontinuous Galerkin method for Volterra integro-differential equations with vanishing delays ⋮ A finite-difference method for a singularly perturbed delay integro-differential equation ⋮ A Tau-like numerical method for solving fractional delay integro-differential equations ⋮ Unnamed Item

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