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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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