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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

Выпуски:
Том 51, 2019 Том 50, 2018 Том 49, 2017 Том 48, 2016 Том 47, 2015 Том 46, 2014 Том 45, 2013 Том 44, 2012 Том 43, 2011 Том 42, 2010 Том 41, 2009 Том 40, 2008 Том 39, 2007 Том 38, 2006 Том 37, 2005 Том 36, 2004 Том 35, 2003 Том 34, 2002 Том 33, 2001 Том 32, 2000 Том 31, 1999 Том 30, 1998 Том 29, 1997 Том 28, 1996

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.

ЛИТЕРАТУРА

  1. Verlan A.F., Sizikov V.S. , Integral equations: methods, algorithms, programs.

  2. Zabreyko P.P., Koshelev A.I., Krasnoselskiy M.A. , et. al., Integral equations.

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

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

  5. Lyusternik L.A., Sobolev V.I. , Elements of functional analysis.

  6. Trenogin V.A. , Functional analysis.

  7. Mikhlin S.G. , Integral equations and their applications to certain problems of mechanics, mathematical physics and engineering.

  8. Nazarov N.N. , Methods for solving the nonlinear integral equations of Hammershtein type.

  9. Balashova S.D. , Projection- iteration methods for solving equations in normalized spaces.

  10. Tavadze L.L. , Projection-iteration methods for solving boundary value problems for equations of elliptic type.


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