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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2021 Volume 61, Number 8, Pages 1278–1286 (Mi zvmmf11275)

This article is cited in 2 papers

Ordinary differential equations

New approach to the iterative method for numerical solution of a convolution type equation determined for a certain class of problems

M. L. Maslakov

Russian Institute for Power Radioengineering, 199178, St. Petersburg, Russia

Abstract: This article proposes a new iterative method for numerical solution of the convolution equation. A modification of this method for effective input data filtering is also performed. Variants of a stopping criterion for the chosen iterative algorithm are analyzed. We consider a class of problems for which this method is quite efficient. The results of numerical experiments are also presented in this paper.

Key words: iterative method, integral equation of convolution type, ill-posed problem, stopping criterion.

UDC: 519.642

Received: 23.01.2020
Revised: 23.01.2020
Accepted: 09.04.2021

DOI: 10.31857/S0044466921080056


 English version:
Computational Mathematics and Mathematical Physics, 2021, 61:8, 1260–1268

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© Steklov Math. Inst. of RAS, 2026