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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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Bibliografische gegevens
Hoofdauteurs: Marek Kolk, Arvet Pedas
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: Vilnius Gediminas Technical University 2009-03-01
Reeks:Mathematical Modelling and Analysis
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Online toegang:https://journals.vgtu.lt/index.php/MMA/article/view/6523
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