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Computer Research and Modeling, 2013, Volume 5, Issue 1, Pages 3–10
DOI: https://doi.org/10.20537/2076-7633-2013-5-1-3-10 (Mi crm377) 		 
MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Galerkin – Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary

P. V. Vinogradovaa, A. G. Zarubinb, A. M. Samusenkoa

a Far Eastern State Transport University, 680021, Khabarovsk, Serisheva 47, Russia
b Pacific National University, 680035, Khabarovsk, Tihookeanskaja 136, Russia
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DOI: https://doi.org/10.20537/2076-7633-2013-5-1-3-10
Abstract: In the current paper, we study a Galerkin – Petrov method for a parabolic equations of higher order in domain with a moving boundary. Asymptotic estimates for the convergence rate of approximate solutions are obtained.
Keywords: initial boundary value problem, parabolic equation, Galerkin – Petrov method, convergence, convergence rate.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-98506
Received: 30.01.2013
Document Type: Article
UDC: 517.93
Language: Russian
Citation: P. V. Vinogradova, A. G. Zarubin, A. M. Samusenko, “Galerkin – Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary”, Computer Research and Modeling, 5:1 (2013), 3–10
Citation in format AMSBIB
\Bibitem{VinZarSam13}
\by P.~V.~Vinogradova, A.~G.~Zarubin, A.~M.~Samusenko
\paper Galerkin -- Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 1
\pages 3--10
\mathnet{http://mi.mathnet.ru/crm377}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-1-3-10}
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