On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer
In this paper difference schemes of the finite element method of a high order of accuracy for the nonstationary equation of moisture transfer of Aller are constructed and investigated. The increased order of accuracy is achieved through special sampling of temporal and spatial variables. The stabil...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2021-06-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/426 |
| _version_ | 1797372688889544704 |
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| author | D. Utebaev G.Kh. Utepbergenova K.O. Tleuov |
| author_facet | D. Utebaev G.Kh. Utepbergenova K.O. Tleuov |
| author_sort | D. Utebaev |
| collection | DOAJ |
| description |
In this paper difference schemes of the finite element method of a high order of accuracy for the nonstationary equation of moisture transfer of Aller are constructed and investigated. The increased order of accuracy is achieved through special sampling of temporal and spatial variables. The stability and convergence of the constructed numerical algorithms are proved, the corresponding a priori estimates are obtained in various norms, which are used later to obtain estimates of the accuracy of the scheme under weak assumptions on the smoothness of solutions to the differential problem.
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| first_indexed | 2024-03-08T18:39:26Z |
| format | Article |
| id | doaj.art-edb7738ef0a94ed1b7c79ef79de41b26 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:39:26Z |
| publishDate | 2021-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-edb7738ef0a94ed1b7c79ef79de41b262023-12-29T10:19:51ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112021-06-01102210.31489/2021m2/129-141On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transferD. UtebaevG.Kh. UtepbergenovaK.O. Tleuov In this paper difference schemes of the finite element method of a high order of accuracy for the nonstationary equation of moisture transfer of Aller are constructed and investigated. The increased order of accuracy is achieved through special sampling of temporal and spatial variables. The stability and convergence of the constructed numerical algorithms are proved, the corresponding a priori estimates are obtained in various norms, which are used later to obtain estimates of the accuracy of the scheme under weak assumptions on the smoothness of solutions to the differential problem. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/426Aller’s equationfinite element methoddifference schemesstabilitya priori estimatesconvergence |
| spellingShingle | D. Utebaev G.Kh. Utepbergenova K.O. Tleuov On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer Қарағанды университетінің хабаршысы. Математика сериясы Aller’s equation finite element method difference schemes stability a priori estimates convergence |
| title | On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer |
| title_full | On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer |
| title_fullStr | On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer |
| title_full_unstemmed | On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer |
| title_short | On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer |
| title_sort | on convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer |
| topic | Aller’s equation finite element method difference schemes stability a priori estimates convergence |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/426 |
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