An iterative algorithm for solving nonlinear integral equations
- Autores: Zaitsev B.A.1, Medvedik M.Y.1
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Afiliações:
- Penza State University
- Edição: Nº 3 (2025)
- Páginas: 36-44
- Seção: MATHEMATICS
- URL: https://bakhtiniada.ru/2072-3040/article/view/360893
- DOI: https://doi.org/10.21685/2072-3040-2025-3-4
- ID: 360893
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Texto integral
Resumo
Background. The purpose of this study is to develop an effective algorithm for solving nonlinear integral equations. Materials and methods. The method is based on the application of the principle of contraction mappings. The paper presents a description of the method and its justification. Results. The application of the method to various problems is considered, numerical results of solving integral equations are presented, showing the convergence of the method. Conclusions. The solution of test problems is given for various nonlinearity parameters, which allows us to draw a conclusion about the quality of the proposed method.
Sobre autores
Boris Zaitsev
Penza State University
Autor responsável pela correspondência
Email: zaytcsevborist@gmail.com
Student
(40 Krasnaya street, Penza, Russia)Mikhail Medvedik
Penza State University
Email: _medv@mail.ru
Candidate of physical and mathematical sciences, associate professor, associate professor of the sub-department of mathematics and supercomputer modeling
(40 Krasnaya street, Penza, Russia)Bibliografia
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