A new approach to the numerical solution of weakly singular Volterra integral equations.

DOI10.1016/j.cam.2003.08.047zbMath1038.65144OpenAlexW1973020618MaRDI QIDQ1428087

Paola Baratella, Annamaria Palamara Orsi

Publication date: 14 March 2004

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.2003.08.047

zbMATH Keywords

Numerical examplesProduct integrationWeakly singular Volterra integral equation

Mathematics Subject Classification ID

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

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Cites Work

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• A numerical approach to the solution of Abel integral equations of the second kind with nonsmooth solution
• Product integration methods for second-kind Abel integral equations
• On the order of the error in discretization methods for weakly singular second kind Volterra integral equations with non-smooth solutions
• Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
• High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels
• High order methods for weakly singular integral equations with nonsmooth input functions
• Product integration for Volterra integral equations of the second kind with weakly singular kernels
• Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels

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