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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v44.i1.40
pages 40-49

Projection-iteration Realization on the Newton−Kantorovich Method for Solving Nonlinear Integral Equations

Lyudmila L. Hart
Oles Honchar Dnepropetrovsk National University
N.V. Polyakov
Oles Honchar Dnepropetrovsk National University

Краткое описание

Consideration has been given to the problem of applying the projection-iteration method based on a quadrature rule method as a method of projection type and the Newton−Kantorovich iteration method to solving nonlinear Uryson integral equations of the second kind. The comparative analysis of the proposed method and a computational scheme of projection type for solving a specific problem have been performed.


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  3. Kantorovich L.V., Akilov G.P. , Functional analysis.

  4. Kolmogorov A.N., Fomin S.V. , Elements of theory of functions and functional analysis.

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