Genocchi Polynomials for Solving Linear Fredholm Integral Equation
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Date
2025-06-15
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
Abstract
Linear integral equations (LIEs) play a crucial role in modeling a wide range of phenom ena across different fields such as engineering, biology, and physics. For this purpose,
the development of numerical methods has become necessary to find fast and accurate
approximate solutions to such equations. In this thesis, we present a numerical approach
based on Genocchi polynomials. The process of the method is to transform the LIE into
a matrix equation. To illustrate the effectiveness and accuracy of this method, we provide
several numerical examples.
Description
Keywords
Fredholm integral equations, approximation, collocation method, Genocchi polynomials