On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem
In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed. The existence and uniqueness of the solution of the difference scheme are obtained by using the functional operator approach. Stability,...
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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/411 |
| _version_ | 1797372644684726272 |
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| author | C. Ashyralyyev G. Akyuz |
| author_facet | C. Ashyralyyev G. Akyuz |
| author_sort | C. Ashyralyyev |
| collection | DOAJ |
| description |
In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed. The existence and uniqueness of the solution of the difference scheme are obtained by using the functional operator approach. Stability, almost coercive stability, and coercive stability estimates for the solution of difference scheme are established. These theoretical results can be applied to construct a stable highly accurate difference scheme for approximate solution of multipoint overdetermined boundary value problem for multidimensional elliptic partial differential equations.
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| first_indexed | 2024-03-08T18:38:49Z |
| format | Article |
| id | doaj.art-3c09bebe45534df39faca15b3b3b0b92 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:49Z |
| publishDate | 2021-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-3c09bebe45534df39faca15b3b3b0b922023-12-29T10:19:55ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112021-06-01102210.31489/2021m2/45-53On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problemC. AshyralyyevG. Akyuz In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed. The existence and uniqueness of the solution of the difference scheme are obtained by using the functional operator approach. Stability, almost coercive stability, and coercive stability estimates for the solution of difference scheme are established. These theoretical results can be applied to construct a stable highly accurate difference scheme for approximate solution of multipoint overdetermined boundary value problem for multidimensional elliptic partial differential equations. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/411overdetermined elliptic problemmulti-point conditionhigh order difference schemedifference schemeinversesource identification problem |
| spellingShingle | C. Ashyralyyev G. Akyuz On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem Қарағанды университетінің хабаршысы. Математика сериясы overdetermined elliptic problem multi-point condition high order difference scheme difference scheme inverse source identification problem |
| title | On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem |
| title_full | On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem |
| title_fullStr | On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem |
| title_full_unstemmed | On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem |
| title_short | On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem |
| title_sort | on fourth order accuracy stable difference scheme for a multi point overdetermined elliptic problem |
| topic | overdetermined elliptic problem multi-point condition high order difference scheme difference scheme inverse source identification problem |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/411 |
| work_keys_str_mv | AT cashyralyyev onfourthorderaccuracystabledifferenceschemeforamultipointoverdeterminedellipticproblem AT gakyuz onfourthorderaccuracystabledifferenceschemeforamultipointoverdeterminedellipticproblem |