2019
Том 71
№ 8

All Issues

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

Askarov M., Pereverzev S. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 4, pp 578-587.

Citation Example: Askarov M., Pereverzev S. V. On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations // Ukr. Mat. Zh. - 1995. - 47, № 4. - pp. 498–505.

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