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The regularizing properties of the composite trapezoidal method for weakly singular Volterra integral equations of the first kind

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Abstract

In the present paper we investigate the regularizing properties of the product trapezoidal method for solving weakly singular first kind Volterra integral equations with perturbed right-hand sides. Some numerical results are also presented.

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Authors and Affiliations

  1. Department of Mathematics, University of Siegen, Walter-Flex-Str. 3, 57068, Siegen, Germany

    Robert Plato

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  1. Robert Plato
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Correspondence to Robert Plato.

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Communicated by Yuesheng Xu and Hongqi Yang.

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Plato, R. The regularizing properties of the composite trapezoidal method for weakly singular Volterra integral equations of the first kind. Adv Comput Math 36, 331–351 (2012). https://doi.org/10.1007/s10444-011-9217-0

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  • DOI: https://doi.org/10.1007/s10444-011-9217-0

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