The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula
A.R. HayotovCentral Asian University, 264, Milliy bog str., Barkamol MFY, M.Ulugbek district, Tashkent, 111221, UzbekistanSamandar BabaevTashkent International University, 7, Kichik khalka yoli str., Tashkent, 100084, Uzbekistan
ABI
Annotatsiya
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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