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This article is cited in 2 scientific papers (total 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.
Received: 23.01.2020 Revised: 23.01.2020 Accepted: 09.04.2021
Citation:
M. L. Maslakov, “New approach to the iterative method for numerical solution of a convolution type equation determined for a certain class of problems”, Zh. Vychisl. Mat. Mat. Fiz., 61:8 (2021), 1278–1286; Comput. Math. Math. Phys., 61:8 (2021), 1260–1268
Linking options:
https://www.mathnet.ru/eng/zvmmf11275 https://www.mathnet.ru/eng/zvmmf/v61/i8/p1278
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