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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2017 Volume 18, Issue 2, Pages 187–191 (Mi vmp871)

A variant of the collocation method for the Fredholm integral equations of the second kind

S. A. Solov'eva

Naberezhnye Chelny Institute, Kazan (Volga Region) Federal University

Abstract: 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.

UDC: 517.968.21

Received: 12.03.2017



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