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Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity

    Marek Kolk Affiliation
    ; Arvet Pedas Affiliation

Abstract

We propose a piecewise polynomial collocation method for solving linear Volterra integral equations of the second kind with kernels which, in addition to a weak diagonal singularity, may have a weak boundary singularity. Global convergence estimates are derived and a collection of numerical results is given.


First published online: 14 Oct 2010

Keyword : Volterra integral equation, weakly singular kernel, boundary singularity, collocation method

How to Cite
Kolk, M., & Pedas, A. (2009). Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity. Mathematical Modelling and Analysis, 14(1), 79-89. https://doi.org/10.3846/1392-6292.2009.14.79-89
Published in Issue
Mar 31, 2009
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