On Galerkin Methods for Abel-Type Integral Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1988 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 25, pages 1,093-1,117 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Eggermont, Paul P. B.;

doi: 10.1137/0725063

On Galerkin Methods for Abel-Type Integral Equations

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Abstract

Integral equations of the form \(\int^{x}_{0}(x-y)^{\alpha - 1}k(x,y)f(y)dy=\Gamma (\alpha)g(x)\), \(0

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University of Delaware
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Keywords

numerical examples, collocation method, rates of convergence, robustness, Numerical methods for integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), stability, quadrature methods, Abel integral equations, Galerkin methods

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