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Numerical Method for the Solution of a Hypersingular Integral Equation of the Second Kind

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Ukrainian Mathematical Journal Aims and scope

А numerical method for the solution of a hypersingular integral equation of the second kind obtained as a generalization of the well-known method is proposed. The existence and uniqueness theorem is proved under additional assumptions. The rate of convergence of an approximate solution to the exact solution is obtained.

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Authors and Affiliations

  1. Karazin Kharkov National University, Kharkov, Ukraine

    A. V. Kostenko

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  1. A. V. Kostenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 9, pp. 1236–1244, September, 2013.

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Kostenko, A.V. Numerical Method for the Solution of a Hypersingular Integral Equation of the Second Kind. Ukr Math J 65, 1373–1383 (2014). https://doi.org/10.1007/s11253-014-0865-3

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  • DOI: https://doi.org/10.1007/s11253-014-0865-3

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