Library Subscription: Guest
Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

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

Volume 44, Issue 1, 2012, pp. 40-49
DOI: 10.1615/JAutomatInfScien.v44.i1.40
Get accessGet access

ABSTRACT

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.

REFERENCES
  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.

CITED BY
  1. Stopkin Vasyl, Kuznetsov Valeriy, Kuznetsov Vitaliy, Nikolenko Anatoliy, Babyak Mvkola, Hubskvi Petro, Model of Two-Mass Electric Drive of DC Electric Locomotive with the Full Order Observer, 2021 International Conference on Electrical, Communication, and Computer Engineering (ICECCE), 2021. Crossref

  2. Bobrov Oleksiy, Kuznetsov Valeriy, Romanovskyi Oleksandr, Tsyplenkov Dmytro, Kuznetsov Vitaliy, Ostapchuk Oleksandr, Hubskyi Petro, Optimum parameters of electromechanical system model “electrical grid-drive-compressor-pneumatic network”, 2021 International Conference on Electrical, Communication, and Computer Engineering (ICECCE), 2021. Crossref

  3. Stopkin Vasyl, Tryputen Mykola, Nikolenko Anatoliy, Kuznetsov Vitaliy, Tryputen Maksym, Model for a Direct Torque Control System of an Alternating Current Electric Drive for Urban Transport Rolling Stock Tasks, in Advances in Computer Science for Engineering and Manufacturing, 463, 2022. Crossref

  4. Voliansky Roman, Volianska Nina, Kuznetsov Vitaliy, Tryputen Mykola, Kuznetsova Alisa, Tryputen Maksym, The Generalized Chaotic System in the Hyper-complex Form and Its Transformations, in Advances in Computer Science for Engineering and Manufacturing, 463, 2022. Crossref

Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections Prices and Subscription Policies Begell House Contact Us Language English 中文 Русский Português German French Spain