用加权最优正交公式数值求解弗里德霍尔姆第二类积分方程

IF 1.4 Q2 MATHEMATICS, APPLIED

Results in Applied Mathematics Pub Date : 2024-11-01 DOI:10.1016/j.rinam.2024.100508

Abdullo Hayotov , Samandar Babaev

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引用次数: 0

摘要

这项研究考虑了希尔伯特空间中用于积分方程数值逼近的最优正交公式。它讨论了用正交公式求解积分方程的顺序。在希尔伯特空间中构建了带权重的最优正交公式。利用构建的最优正交公式和梯形法则给出了求解积分方程的算法。根据这些算法求解了几个积分方程。

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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The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula

This work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas. An optimal quadrature formula with weight is constructed in the Hilbert space. The algorithms for solving the integral equation are given using the constructed optimal quadrature formula and trapezoidal rule. Several integral equations are solved based on these algorithms.

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来源期刊

Results in Applied Mathematics Mathematics-Applied Mathematics

CiteScore

3.20

自引率

10.00%

发文量

审稿时长

23 days