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

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...

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Bibliographic Details
Main Authors: Marek Kolk, Arvet Pedas
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2009-03-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/6523