N. S. Gabbasov, Z. Kh. Galimova, “To numerical solving integral equations of the third kind with singularities in a kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, Number 12,Pages <nobr>36

This article is cited in 2 papers

To numerical solving integral equations of the third kind with singularities in a kernel

N. S. Gabbasov^a, Z. Kh. Galimova^b

^a Naberezhnye Chelny Instirute of Kazan (Volga Region) Federal University, 68/19 Mira Ave., Naberezhnye Chelny, 423810 Russia
^b Naberezhnye Chelny Branch of Kazan Institute of Economics, Management and Law, 53/02 Vakhitov Ave., Naberezhnye Chelny, 423815 Russia

Abstract: In this paper we study linear integral equation of the third kind with fixed singularities in a kernel. For the approximate solution of these equations in the space of generalized functions we propose and substantiate special generalized methods.

Keywords: integral equation of the third kind, space of the generalized functions, approximate solution, subdomains method, theoretical substantiation.

UDC: 519.642

Received: 02.04.2015