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 Model. Anal. Inform. Sist., 2011, Volume 18, Number 3, Pages 63–74 (Mi mais187)

About two finite-dimensional approximations of the periodic boundary value problem

N. A. Dem'yankov

P. G. Demidov Yaroslavl State University

Abstract: Two numerical methods for solving the periodic boundary value problem are considered: Galerkin's method and the method of polygonal lines. The original problem is mapped to the sequence of its discretization – systems of equations in finite spaces. Conditions under which the existence of solutions of a periodic boundary value problem entails its solvability of discrete options are given. The question of approximate solutions convergence is studied.

Keywords: numerical methods, boundary value problem, periodic solution, discrete version.

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UDC: 519.6

Citation: N. A. Dem'yankov, “About two finite-dimensional approximations of the periodic boundary value problem”, Model. Anal. Inform. Sist., 18:3 (2011), 63–74

Citation in format AMSBIB
\Bibitem{Dem11} \by N.~A.~Dem'yankov \paper About two finite-dimensional approximations of the periodic boundary value problem \jour Model. Anal. Inform. Sist. \yr 2011 \vol 18 \issue 3 \pages 63--74 \mathnet{http://mi.mathnet.ru/mais187}