Дискретная математическая модель одного гиперсингулярного интегрального уравнения

Abstract

A discrete mathematical model of a hypersingular integral equation on the standard interval (1,1) − and on a system of intervals is constructed based on the method of discrete singularities. The unique solvability of the model is proved and the convergence rate of the solution of the discrete problem to the exact solution of the hypersingular integral equation is estimated under some smoothness assumptions.