Numerical treatment of the nonlinear Fredholm integral equation by Newton-Kantorovich method

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Date

2022-06-10

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UNIVERSITY of M'SILA

Abstract

In this work, we apply the Newton-Kantorovich method to solve the nonlinear Fred holm integral equation, we look for an approximate solution for nonlinear Fredholm integral equation of the second kind using a combination between Newton-Kantorovich method and modiÖed Simpson method, then we give numerical results of some exampls which are solving by this combination.

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Keywords

Öxed point theorems, modiÖed Simpson method, Newton-Kantorovich method, Fredholm integral equation.

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