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Numerical Solution of Weakly Singular Linear Volterra Integro-differential Equations

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Abstract

In this paper, we show that a known technique of smoothing can be successfully employed in the numerical solution of weakly singular linear Volterra integro-differential equations and we introduce a Nyström-type method whose order of convergence is also estimated.

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Authors and Affiliations

  1. Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129, Torino, Italia

    P. Baratella & A. Palamara Orsi

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  1. P. Baratella
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  2. A. Palamara Orsi
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Correspondence to P. Baratella.

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Baratella, P., Palamara Orsi, A. Numerical Solution of Weakly Singular Linear Volterra Integro-differential Equations. Computing 77, 77–96 (2006). https://doi.org/10.1007/s00607-005-0148-9

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  • DOI: https://doi.org/10.1007/s00607-005-0148-9

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