Using Chebyshev’s polynomials for solving Fredholm integral equations of the second kind

Using Chebyshev’s polynomials for solving Fredholm integral equations of the second kind

The main problem with the Newton method is the computation of the inverse of the first derivative of the operator involved at each iteration step. Thus, when we want to apply the Newton method directly to solve an integral equation, the existence of the inverse of the first derivative is guaranteed...

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Bibliographic Details
Main Authors: José Antonio Ezquerro, Miguel Ángel Hernández-Verón
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2025-01-01
Series:Mathematical Modelling and Analysis
Subjects:
Fredholm integral equation
the Newton method
existence domain
uniqueness domain
Online Access:https://gc.vgtu.lt/index.php/MMA/article/view/21036
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