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Mathematical notes of NEFU, 2016, Volume 23, Issue 4, Pages 73–81 (Mi svfu40)  
Mathematics

Application of the stationary Galerkin method to the first boundary value problem for a mixed high-order equation

I. M. Tikhonova

M. K. Ammosov North-Eastern Federal University, Research Institute of Mathematics, Kulakovskii Street, 48, Yakutsk 677000, Russia
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Abstract: We consider the first boundary value problem for a mixed even-order equation and construct an approximate solution using the stationary Galerkin method. The existence of a regular solution for the boundary value problem is proved under certain conditions on coefficients of the equation. We obtain the error estimate of the Galerkin method.
Keywords: Galerkin method, mixed type equation, regular solution, a priori estimate.
Received: 20.11.2016
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: I. M. Tikhonova, “Application of the stationary Galerkin method to the first boundary value problem for a mixed high-order equation”, Mathematical notes of NEFU, 23:4 (2016), 73–81
Citation in format AMSBIB
\Bibitem{Tik16}
\by I.~M.~Tikhonova
\paper Application of the stationary Galerkin method to the first boundary value problem for a mixed high-order equation
\jour Mathematical notes of NEFU
\yr 2016
\vol 23
\issue 4
\pages 73--81
\mathnet{http://mi.mathnet.ru/svfu40}
\elib{https://elibrary.ru/item.asp?id=29959203}
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