Numerical solution of weakly singular linear Volterra integro-differential equations

DOI10.1007/S00607-005-0148-9zbMath1088.65114OpenAlexW2099199908MaRDI QIDQ818855

Annamaria Palamara Orsi, Paola Baratella

Publication date: 21 March 2006

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-005-0148-9

zbMATH Keywords

convergenceNyström-type method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (3)

An \(hp\)-version fractional collocation method for Volterra integro-differential equations with weakly singular kernels ⋮ Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations ⋮ The Puiseux expansion and numerical integration to nonlinear weakly singular Volterra integral equations of the second kind

Cites Work

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• Analysis of general quadrature methods for integral equations of the second kind
• Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations
• High order product integration methods for a Volterra integral equation with logarithmic singular kernel
• Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
• Volterra integral equations and a new Gronwall inequality (Part II: The nonlinear case)
• Properties of Interpolatory Product Integration Rules
• High order methods for weakly singular integral equations with nonsmooth input functions
• Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
• Product integration for Volterra integral equations of the second kind with weakly singular kernels

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