Fredholm-Volterra integral equation with singular kernel

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1999 English Publisher:Springer Science and Business Media LLCJournal:Korean Journal of Computational and Applied Mathematics, volume 6, pages 163-174 (issn: 1226-0061,

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Authors: Darwish, M. A.;

doi: 10.1007/bf02941914

Fredholm-Volterra integral equation with singular kernel

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Abstract

The paper deals with the numerical solution of Fredholm-Volterra integral equations with Carleman kernel in the space \(L_2(-1,1)\times C(0,T)\), \(0\leq t\leq T<\infty\), using Toeplitz matrices.

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Kiel University
Germany

Keywords

singular integral operator, Toeplitz matrices, Carleman kernel, Numerical methods for integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Fredholm-Volterra integral equation

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