"A variant of the collocation method for the Fredholm integral equations of the second kind"
Solov'eva S.A.

A special variant of the collocation method based on Bernstein polynomials is proposed and theoretically substantiated for the approximate solution of Fredholm integral equations of the second kind in the space of smooth functions.

Keywords: Fredholm integral equations of the second kind, space of smooth functions, approximate solutions, collocation method, Bernstein polynomials.

  • Solov'eva S.A. – Kazan (Volga Region) Federal University, Naberezhnye Chelny Institute (Branch); prospekt Mira 68/19, Naberezhnye Chelny, 423810, Russia; Ph.D., Associate Professor, e-mail: solovjeva_sa@mail.ru