N. S. Gabbasov, R. R. Zamaliev, “Special variants of collocation method for integral equations in a special case”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, Number 5,Pages <nobr>45

This article is cited in 1 paper

Special variants of collocation method for integral equations in a special case

N. S. Gabbasov^a, R. R. Zamaliev^b

^a Kazan (Volga Region) Federal University, Naberezhnye Chelny Institute, 10 Syuyumbike Ave., Naberezhnye Chelny, 423812 Russia
^b Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We study integral equation of the third kind with fixed singularities in the kernel. For approximate solving of these equations in the space of generalized functions we propose and substantiate a new generalized variants of the collocation method.

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

UDC: 519.642

Received: 07.10.2015