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On the approximate solution of one-dimensional singular integral equations of first kind

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Abstract

We prove an estimate for the error in approximate solution of one-dimensional singular integral equations. The estimate is obtained by an approximation of the kernel. For a specific problem we give a comparison of numerical results.

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Authors
  1. O. V. Poberezhnii
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Additional information

Translated fromMatematichni Metody i Fiziko-Mekhanichni Polya, Vol. 38, 1995.

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Poberezhnii, O.V. On the approximate solution of one-dimensional singular integral equations of first kind. J Math Sci 81, 3044–3047 (1996). https://doi.org/10.1007/BF02362591

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  • DOI: https://doi.org/10.1007/BF02362591

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