Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary
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.
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Format: | Article |
Language: | Russian |
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Institute of Computer Science
2013-02-01
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Series: | Компьютерные исследования и моделирование |
Subjects: | |
Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2013_1/01_VinogradovaPV.pdf |
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author | Polina Vitalievna Vinogradova Anatoly Georgievich Zarubin Aleksandr Markovich Samusenko |
author_facet | Polina Vitalievna Vinogradova Anatoly Georgievich Zarubin Aleksandr Markovich Samusenko |
author_sort | Polina Vitalievna Vinogradova |
collection | DOAJ |
description | 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. |
first_indexed | 2024-12-21T05:40:49Z |
format | Article |
id | doaj.art-7dbfd844dbac464a8fba0e4a6d6d9ca4 |
institution | Directory Open Access Journal |
issn | 2076-7633 2077-6853 |
language | Russian |
last_indexed | 2024-12-21T05:40:49Z |
publishDate | 2013-02-01 |
publisher | Institute of Computer Science |
record_format | Article |
series | Компьютерные исследования и моделирование |
spelling | doaj.art-7dbfd844dbac464a8fba0e4a6d6d9ca42022-12-21T19:14:16ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532013-02-015131010.20537/2076-7633-2013-5-1-3-101985Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundaryPolina Vitalievna VinogradovaAnatoly Georgievich ZarubinAleksandr Markovich SamusenkoIn 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.http://crm.ics.org.ru/uploads/crmissues/crm_2013_1/01_VinogradovaPV.pdfinitial boundary value problemparabolic equationGalerkin–Petrov methodconvergenceconvergence rate |
spellingShingle | Polina Vitalievna Vinogradova Anatoly Georgievich Zarubin Aleksandr Markovich Samusenko Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary Компьютерные исследования и моделирование initial boundary value problem parabolic equation Galerkin–Petrov method convergence convergence rate |
title | Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary |
title_full | Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary |
title_fullStr | Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary |
title_full_unstemmed | Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary |
title_short | Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary |
title_sort | galerkin petrov method for one dimensional parabolic equations of higher order in domain with a moving boundary |
topic | initial boundary value problem parabolic equation Galerkin–Petrov method convergence convergence rate |
url | http://crm.ics.org.ru/uploads/crmissues/crm_2013_1/01_VinogradovaPV.pdf |
work_keys_str_mv | AT polinavitalievnavinogradova galerkinpetrovmethodforonedimensionalparabolicequationsofhigherorderindomainwithamovingboundary AT anatolygeorgievichzarubin galerkinpetrovmethodforonedimensionalparabolicequationsofhigherorderindomainwithamovingboundary AT aleksandrmarkovichsamusenko galerkinpetrovmethodforonedimensionalparabolicequationsofhigherorderindomainwithamovingboundary |