New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle
Differential and difference interpretations of a nonlocal boundary value problem for Poisson’s equation in open rectangular domain are studied. New solvability conditions are obtained in respect of existence, uniqueness and a priori estimate of the classical solution. Second order of accuracy differ...
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| Format: | Article |
| Language: | English |
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EJAAM
2021-11-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2021/10.2478-ejaam-2021-0002.pdf |
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| _version_ | 1823864928570703872 |
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| author | Dovlet M. Dovletov |
| author_facet | Dovlet M. Dovletov |
| author_sort | Dovlet M. Dovletov |
| collection | DOAJ |
| description | Differential and difference interpretations of a nonlocal boundary value problem for Poisson’s equation in open rectangular domain are studied. New solvability conditions are obtained in respect of existence, uniqueness and a priori estimate of the classical solution. Second order of accuracy difference scheme is presented. |
| format | Article |
| id | doaj-art-c5767a052f3a49cfbd7560651250549e |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2021-11-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-c5767a052f3a49cfbd7560651250549e2025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902021-11-01202110.2478/ejaam-2021-0002New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangleDovlet M. Dovletov0Near East University, Lefkosha (Nicosia), Mersin 10, TurkeyDifferential and difference interpretations of a nonlocal boundary value problem for Poisson’s equation in open rectangular domain are studied. New solvability conditions are obtained in respect of existence, uniqueness and a priori estimate of the classical solution. Second order of accuracy difference scheme is presented.https://ejaam.org/articles/2021/10.2478-ejaam-2021-0002.pdfpoisson’s operatornonlocal boundary value problemnonlocal boundary value conditionrectangular domaindifference scheme |
| spellingShingle | Dovlet M. Dovletov New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle E-Journal of Analysis and Applied Mathematics poisson’s operator nonlocal boundary value problem nonlocal boundary value condition rectangular domain difference scheme |
| title | New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle |
| title_full | New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle |
| title_fullStr | New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle |
| title_full_unstemmed | New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle |
| title_short | New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle |
| title_sort | new solvability condition of 2 d nonlocal boundary value problem for poisson s operator on rectangle |
| topic | poisson’s operator nonlocal boundary value problem nonlocal boundary value condition rectangular domain difference scheme |
| url | https://ejaam.org/articles/2021/10.2478-ejaam-2021-0002.pdf |
| work_keys_str_mv | AT dovletmdovletov newsolvabilityconditionof2dnonlocalboundaryvalueproblemforpoissonsoperatoronrectangle |