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On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels

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Abstract

We give a direct method, optimal inL 2, for solving the Fredholm integral equation of the second kind with operators acting into the space of functions harmonic in a disk or into the space of functions that can be analytically extended to an infinite strip. The exact order of the error of this method is determined.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. N. Urumbaev

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  1. A. N. Urumbaev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 12, pp. 1695–1701, December, 1993.

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Urumbaev, A.N. On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels. Ukr Math J 45, 1907–1914 (1993). https://doi.org/10.1007/BF01061361

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  • DOI: https://doi.org/10.1007/BF01061361

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