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Iterative methods for solving quadratic integral equations of the first kind

TitleIterative methods for solving quadratic integral equations of the first kind
AuthorsA. N. Tynda1
1Penza State University
AnnotationThe paper is devoted to the construction of numerical methods for solving quadratic integral Volterra equations. Two iterative numerical methods are proposed, one of which is based on the linearization of the integral operator according to the modified Newton-Kantorovich scheme, and the second contains a regularization parameter and has smoothing properties.
Keywordsquadratic integral equations, numerical method, linearization, regularization.
CitationTynda A. N. ''Iterative methods for solving quadratic integral equations of the first kind'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 196-198. Available at: https://conf.svmo.ru/files/2024/papers/paper37.pdf. - Date of access: 04.12.2024.