Linearization-Discretization process to solve systems of nonlinear Fredholm integral equations in an infinite-dimensional context

Autor:	Ilyes SEDKA, Samir LEMITA, Mohamed Zine AISSAOUI
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	System of nonlinear equations Fredholm integral equations Newton method Nyström method Integro-differential equation Matematik Applied Mathematics Analysis Mathematics
Zdroj:	Volume: 6, Issue: 4 547-564 Advances in the Theory of Nonlinear Analysis and its Application
ISSN:	2587-2648
Popis:	In this paper, we propose a different way for solving systems of nonlinear Fredholm integral equations of the second kind. We construct our new strategy in two steps, through beginning with the linearization phase of the system of Fredholm integral equations by applying Newton method, then we pass to the discretization phase for some involved integral operator using Nystr\"{o}m method. The convergence analysis of our new method is proved under some necessary conditions. At last, a numerical application to approach a nonlinear Fredholm integro-differential equation by using this new process is taken to confirm its advantage.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::145354395cc1b9973d312cce955a9035 https://dergipark.org.tr/tr/pub/atnaa/issue/70186/998275 Zobrazit plný text záznamu