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

被引：1

作者：

Hayotov, Abdullo ^{[1
,2
,4
]}

Babaev, Samandar ^{[1
,3
,4
]}

机构：

[1] Uzbek Acad Sci, VIRomanovskiy Inst Math, 9,Univ str, Tashkent 100174, Uzbekistan

[2] Cent Asian Univ, 264,Milliy bog str, Tashkent 111221, Uzbekistan

[3] Tashkent Int Univ, 7,Kichik khalka yoli str, Tashkent 100084, Uzbekistan

[4] Bukhara State Univ, M Ikbol Str 11, Bukhara 200114, Uzbekistan

来源：

RESULTS IN APPLIED MATHEMATICS | 2024年 / 24卷

关键词：

Hilbert space; Fredholm integral equation; The error functional; Optimal quadrature formula; Weighted quadrature formula; APPROXIMATE SOLUTION;

D O I：

10.1016/j.rinam.2024.100508

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：9

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