A genetic algorithm approach based on spline quasi-interpolation for solving Fredholm integral equations

F. El Mokhtari, M. Lamnii and D. Barrera

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 229, issue C, 725-742

Abstract: This paper focuses on the approximation of solutions of second kind Fredholm integral equations using non-uniform spline quasi-interpolation. Our aim is to determine the most effective non-uniform partition that provides an optimal numerical solution to the integral equation. To achieve this, we introduce a solution approach based on genetic algorithms, using right approximation of the integral equation’s kernel. We present some numerical examples to show the method’s performance.

Keywords: Genetic algorithms; Fredholm integral equations; Right approximation; Spline quasi-interpolation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:229:y:2025:i:c:p:725-742

DOI: 10.1016/j.matcom.2024.10.033

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