Iterative methods for solving quadratic integral equations of the first kind

Title	Iterative methods for solving quadratic integral equations of the first kind
Authors	A. N. Tynda¹ ¹Penza State University
Annotation	The 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.
Keywords	quadratic integral equations, numerical method, linearization, regularization.
Citation	Tynda 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: 16.10.2024.