Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations
UDC 517.9 We present a stable  difference scheme of the second order of accuracy  for a one-dimensional hyperbolic equation. The well-posedness of the difference scheme is established. Numerical results are presented.
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| Datum: | 2024 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7407 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512667024752640 |
|---|---|
| author | Ashyralyev, Allaberen Emharab, Fathi Ashyralyev, Allaberen Emharab, Fathi |
| author_facet | Ashyralyev, Allaberen Emharab, Fathi Ashyralyev, Allaberen Emharab, Fathi |
| author_sort | Ashyralyev, Allaberen |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-22T08:15:11Z |
| description | UDC 517.9
We present a stable  difference scheme of the second order of accuracy  for a one-dimensional hyperbolic equation. The well-posedness of the difference scheme is established. Numerical results are presented. |
| doi_str_mv | 10.3842/umzh.v76i5.7407 |
| first_indexed | 2026-03-24T03:32:25Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7407 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:25Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-74072024-11-22T08:15:11Z Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations Ashyralyev, Allaberen Emharab, Fathi Ashyralyev, Allaberen Emharab, Fathi Source identification problem well-posedness hyperbolic differential equations difference scheme Research paper UDC 517.9 We present a stable  difference scheme of the second order of accuracy  for a one-dimensional hyperbolic equation. The well-posedness of the difference scheme is established. Numerical results are presented. УДК 517.9 Стійкa різницевa схемa для числового розв'язування задачі ідентифікації джерела для гіперболічних рівнянь Наведено стійку різницеву схему другого порядку точності для одновимірного гіперболічного рівняння. Встановлено, що різницева схема є коректно поставленою. Наведено числові результати. Institute of Mathematics, NAS of Ukraine 2024-06-02 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7407 10.3842/umzh.v76i5.7407 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 5 (2024); 647 - 663 Український математичний журнал; Том 76 № 5 (2024); 647 - 663 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7407/9937 Copyright (c) 2024 Allaberen Ashyralyev |
| spellingShingle | Ashyralyev, Allaberen Emharab, Fathi Ashyralyev, Allaberen Emharab, Fathi Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations |
| title | Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations |
| title_alt | Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations |
| title_full | Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations |
| title_fullStr | Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations |
| title_full_unstemmed | Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations |
| title_short | Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations |
| title_sort | stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations |
| topic_facet | Source identification problem well-posedness hyperbolic differential equations difference scheme Research paper |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7407 |
| work_keys_str_mv | AT ashyralyevallaberen stabledifferenceschemeforthenumericalsolutionofthesourceidentificationproblemforhyperbolicequations AT emharabfathi stabledifferenceschemeforthenumericalsolutionofthesourceidentificationproblemforhyperbolicequations AT ashyralyevallaberen stabledifferenceschemeforthenumericalsolutionofthesourceidentificationproblemforhyperbolicequations AT emharabfathi stabledifferenceschemeforthenumericalsolutionofthesourceidentificationproblemforhyperbolicequations |