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Special Version of Collocation Method for Integral Equations of the Third Kind With Fixed Singularities in a Kernel

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Abstract

We consider a linear integral equation of the third kind with fixed singularities in its kernel. We offer and prove a special version of collocation method for its approximate solving.

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Authors and Affiliations

  1. Naberezhnye Chelny Institute of Kazan Federal University, pr. Mira 68/19, Naberezhnye Chelny, 423810, Russia

    N. S. Gabbasov

  2. Kazan Innovation University named after B. G. Timiryasov, pr. Vakhitova 53/02, Naberezhnye Chelny, 423815, Russia

    Z. Kh. Galimova

Authors
  1. N. S. Gabbasov
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  2. Z. Kh. Galimova
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Corresponding author

Correspondence to N. S. Gabbasov.

Additional information

Original Russian Text © N.S. Gabbasov, Z.Kh. Galimova, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 5, pp. 20–27.

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Gabbasov, N.S., Galimova, Z.K. Special Version of Collocation Method for Integral Equations of the Third Kind With Fixed Singularities in a Kernel. Russ Math. 62, 16–22 (2018). https://doi.org/10.3103/S1066369X18050031

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  • DOI: https://doi.org/10.3103/S1066369X18050031

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