Piecewise Polynomial Collocation for Volterra Integral Equations with Logarithmic Kernels

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 2011, 2013, pp 201-208 from Springer

Abstract: Abstract We propose a numerical method for solving linear Volterra integral equations of the second kind with logarithmic kernels which, in addition to a 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.

Keywords: Volterra Integral Equation; Logarithmic Kernel; Piecewise Polynomial Collocation; Attainable Order; Diagonal Singularity (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_22

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DOI: 10.1007/978-3-642-33134-3_22

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