Numerical Solution of Volterra Integral Equations with Weak Singularities

M. Kolk () and A. Pedas ()
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M. Kolk: University of Tartu, Institute of Mathematics
A. Pedas: University of Tartu, Institute of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 507-514 from Springer

Abstract: 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. The attainable order of global and local convergence of proposed algorithms is discussed and a collection of numerical results is given.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_54

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DOI: 10.1007/978-3-642-11795-4_54

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