Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2024.100508

Authors: Abdullo Hayotov, Samandar Babaev

Institutions: Academy of Sciences Republic of Uzbekistan, Bukhara State University, Central Asian University, Tashkent International University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,490

OpenAlex ID: W4403947686

FWCI: 7.651

Cites: 21

Cited by: 10

Related to: 10