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

Vinogradova P.V., Zarubin A.G., Samusenko A.M.
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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
Citation in English: Vinogradova P.V., Zarubin A.G., Samusenko A.M. Galerkin–Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary // Computer Research and Modeling, 2013, vol. 5, no. 1, pp. 3-10
Citation in English: Vinogradova P.V., Zarubin A.G., Samusenko A.M. Galerkin–Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary // Computer Research and Modeling, 2013, vol. 5, no. 1, pp. 3-10
DOI: 10.20537/2076-7633-2013-5-1-3-10
URL: http://crm-en.ics.org.ru/journal/article/1985/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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