基于花键准插值的遗传算法求解弗雷德霍姆积分方程

IF 5.4 3区材料科学 Q2 CHEMISTRY, PHYSICAL ACS Applied Energy Materials Pub Date : 2024-10-28 DOI:10.1016/j.matcom.2024.10.033

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

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引用次数: 0

摘要

本文的重点是利用非均匀样条准插值法逼近第二类弗雷德霍姆积分方程的解。我们的目标是确定最有效的非均匀分割，为积分方程提供最佳数值解。为此，我们引入了一种基于遗传算法的求解方法，使用积分方程核的右近似。我们通过一些数值示例来展示该方法的性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

ACS Applied Energy Materials Materials Science-Materials Chemistry

CiteScore

10.30

自引率

6.20%

发文量

1368

期刊介绍： ACS Applied Energy Materials is an interdisciplinary journal publishing original research covering all aspects of materials, engineering, chemistry, physics and biology relevant to energy conversion and storage. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important energy applications.