Stable difference scheme for a nonlocal boundary value heat conduction problem
In this paper, a new finite difference method to solve nonlocal boundary value problems for the heat equation is proposed. The most important feature of these problems is the non-self-adjointness. Because of the non-self-adjointness, major difficulties occur when applying analytical and numerical so...
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| Format: | Article |
| Language: | English |
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EJAAM
2018-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2018/10.2478-ejaam-2018-0001.pdf |
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| _version_ | 1823864851330498560 |
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| author | Makhmud A. Sadybekov |
| author_facet | Makhmud A. Sadybekov |
| author_sort | Makhmud A. Sadybekov |
| collection | DOAJ |
| description | In this paper, a new finite difference method to solve nonlocal boundary value problems for the heat equation is proposed. The most important feature of these problems is the non-self-adjointness. Because of the non-self-adjointness, major difficulties occur when applying analytical and numerical solution techniques. Moreover, problems with boundary conditions that do not possess strong regularity are less studied. The scope of the present paper is to justify possibility of building a stable difference scheme with weights for mentioned type of problems above |
| format | Article |
| id | doaj-art-4cd0c013c798468bb12590297c6d1409 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2018-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-4cd0c013c798468bb12590297c6d14092025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902018-12-01201810.2478/ejaam-2018-0001Stable difference scheme for a nonlocal boundary value heat conduction problemMakhmud A. Sadybekov0nstitute of Mathematics and Mathematical Modeling, 050010, Almaty, KazakhstanIn this paper, a new finite difference method to solve nonlocal boundary value problems for the heat equation is proposed. The most important feature of these problems is the non-self-adjointness. Because of the non-self-adjointness, major difficulties occur when applying analytical and numerical solution techniques. Moreover, problems with boundary conditions that do not possess strong regularity are less studied. The scope of the present paper is to justify possibility of building a stable difference scheme with weights for mentioned type of problems abovehttps://ejaam.org/articles/2018/10.2478-ejaam-2018-0001.pdfheat equationinitial boundary problemsnonlocal boundary value problemnumerical methoddifference scheme |
| spellingShingle | Makhmud A. Sadybekov Stable difference scheme for a nonlocal boundary value heat conduction problem E-Journal of Analysis and Applied Mathematics heat equation initial boundary problems nonlocal boundary value problem numerical method difference scheme |
| title | Stable difference scheme for a nonlocal boundary value heat conduction problem |
| title_full | Stable difference scheme for a nonlocal boundary value heat conduction problem |
| title_fullStr | Stable difference scheme for a nonlocal boundary value heat conduction problem |
| title_full_unstemmed | Stable difference scheme for a nonlocal boundary value heat conduction problem |
| title_short | Stable difference scheme for a nonlocal boundary value heat conduction problem |
| title_sort | stable difference scheme for a nonlocal boundary value heat conduction problem |
| topic | heat equation initial boundary problems nonlocal boundary value problem numerical method difference scheme |
| url | https://ejaam.org/articles/2018/10.2478-ejaam-2018-0001.pdf |
| work_keys_str_mv | AT makhmudasadybekov stabledifferenceschemeforanonlocalboundaryvalueheatconductionproblem |