N. S. Gabbasov, Z. Kh. Galimova, “Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 5,Pages <nobr>20

This article is cited in 1 paper

Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel

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

^a Naberezhnye Chelny Institute of Kazan Federal University, 68/19 Mira Ave., Naberezhnye Chelny, 423810 Russia
^b Kazan Innovation University named after B.G. Timiryasov, 53/02 Vakhitov Ave., Naberezhnye Chelny, 423815 Russia

Abstract: We study a 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 version of the collocation method.

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

UDC: 519.642

Received: 02.03.2017