Мақола

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

A.R. HayotovBukhara State University, 11, M.Ikbol str., Bukhara, 200114, UzbekistanSamandar BabaevBukhara State University, 11, M.Ikbol str., Bukhara, 200114, Uzbekistan

Results in Applied Mathematicsjournal2024en

ABI

Аннотация

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.

Мавзулар

Electromagnetic Scattering and Analysis Numerical methods in inverse problems Mathematical functions and polynomials

Идентификаторлар

DOI: 10.1016/j.rinam.2024.100508

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