A Nyström interpolant for some weakly singular linear Volterra integral equations

Authors:
Paola Baratella
Affiliations:
Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

We consider a second kind weakly singular Volterra integral equation defined by a non-compact operator and derive a Nystrom type interpolant of the solution based on Gauss-Radau nodes. Assuming the stability of the interpolant, which is confirmed by the numerical tests, we derive convergence estimates.