Numerical treatment of the nonlinear Volterra integral equation by Newton-Kantorovich method
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Date
2022-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
UNIVERSITY of M'SILA
Abstract
Many problems which arise in mathematical physics, engineering, biology, economics,...etc.,
lead to mathematical models described by nonlinear integral equation. In this work, the aim
is solve numerically the nonlinear Volterra integral equation by the combination of Newton Kantorovich method with modiÖed Simpson method.This method transforms the nonlinear
integral equation to a linear integral equation of the second kind which be solve by the
modiÖed Simpson method.
Description
Keywords
Nonlinear Volterra integral equations, Fixed point theorem, Newton-Kantorovich method, modiÖed Simpson method.