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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

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.

Topics

Electromagnetic Scattering and AnalysisNumerical methods in inverse problemsMathematical functions and polynomials

Identifiers

DOI
10.1016/j.rinam.2024.100508

Citations and references

Cited by 722 references
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