Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation
Bakhtiyor DaliyevFerghana Branch of Tashkent University of Information Technology, Fergana, UzbekistanDadakhon TukxtasinovFerghana Branch of Tashkent University of Information Technology, Fergana, UzbekistanBakhromjon BozarovFerghana Branch of Tashkent University of Information Technology, Fergana, UzbekistanSalim SabirovFerghana Branch of Tashkent University of Information Technology, Fergana, UzbekistanJamoliddin AbdullayevFerghana Branch of Tashkent University of Information Technology, Fergana, UzbekistanMakhfuza RuzimatovaFerghana Branch of Tashkent University of Information Technology, Fergana, Uzbekistan
ABI
Аннотация
In this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space. The optimal coefficients of this quadrature formula have been found. In addition, using the constructed composite optimal quadrature formula, numerical results of examples of the generalized Abel integral equation were obtained and compared with the exact solution.
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