Special version of the collocation method for a class of integral equations of the third kind based on Hermite–Fejer interpolation polynomials

Svetlana A. Solov'eva

Naberezhnye Chelny Institute, Kazan (Volga Region) Federal University, Suyuymbike, 10a, Naberezhnye Chelny, 423812 Russia

Abstract: In this document we propose and justify special direct method for the approximate solution of equations of the third kind in the space of distributions.

Keywords: third-kind integral equation, approximate solution, space of distributions, theoretical substantiation.

UDC: 519.642

Received: 21.01.2014
Received in revised form: 24.02.2014
Accepted: 25.03.2014

Language: English