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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Institute of Computer Science
2013-02-01
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| Series: | Компьютерные исследования и моделирование |
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| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2013_1/01_VinogradovaPV.pdf |
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doaj-7dbfd844dbac464a8fba0e4a6d6d9ca42020-11-24T21:55:31ZrusInstitute 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 |
| collection |
DOAJ |
| language |
Russian |
| format |
Article |
| sources |
DOAJ |
| author |
Polina Vitalievna Vinogradova Anatoly Georgievich Zarubin Aleksandr Markovich Samusenko |
| 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 |
| author_facet |
Polina Vitalievna Vinogradova Anatoly Georgievich Zarubin Aleksandr Markovich Samusenko |
| author_sort |
Polina Vitalievna Vinogradova |
| title |
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_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_sort |
galerkin-petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary |
| publisher |
Institute of Computer Science |
| series |
Компьютерные исследования и моделирование |
| issn |
2076-7633 2077-6853 |
| publishDate |
2013-02-01 |
| 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. |
| 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 |
| _version_ |
1725862175782731776 |