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On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations

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Abstract

For classes of weakly singular integral equations of the second kind whose kernels have a power singularity, we find the optimal order of the rate of convergence of projection-iterative methods. Moreover, iterative methods of the Sokolov type are considered and, for weakly singular equations with differentiable coefficients, we present estimates of the rate of convergence of such methods.

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Authors and Affiliations

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

    S. V. Pereverzev & M. Askarov

Authors
  1. S. V. Pereverzev
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  2. M. Askarov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 498–505, April, 1995.

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Pereverzev, S.V., Askarov, M. On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations. Ukr Math J 47, 578–587 (1995). https://doi.org/10.1007/BF01056043

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  • DOI: https://doi.org/10.1007/BF01056043

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