Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems
We construct a special aggregate-iterative algorithm (a two-parameter method) for the iterative integration of a differential equation with two-point boundary conditions. We establish conditions for the convergence of this method and present partial cases of the two-parameter aggregate-iterative alg...
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| Date: | 2003 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4011 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510141906944000 |
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| author | Kostyshyn, L. P. Shuvar, B. A. Костишин, Л. П. Шувар, Б. А. |
| author_facet | Kostyshyn, L. P. Shuvar, B. A. Костишин, Л. П. Шувар, Б. А. |
| author_sort | Kostyshyn, L. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:09Z |
| description | We construct a special aggregate-iterative algorithm (a two-parameter method) for the iterative integration of a differential equation with two-point boundary conditions. We establish conditions for the convergence of this method and present partial cases of the two-parameter aggregate-iterative algorithm. |
| first_indexed | 2026-03-24T02:52:17Z |
| format | Article |
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| id | umjimathkievua-article-4011 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:52:17Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f4/e3919b41e618857e480bc80af048f5f4.pdf |
| spelling | umjimathkievua-article-40112020-03-18T20:18:09Z Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems Агрегаційно-ітеративні способи апроксимації розв'язків крайових задач Kostyshyn, L. P. Shuvar, B. A. Костишин, Л. П. Шувар, Б. А. We construct a special aggregate-iterative algorithm (a two-parameter method) for the iterative integration of a differential equation with two-point boundary conditions. We establish conditions for the convergence of this method and present partial cases of the two-parameter aggregate-iterative algorithm. Побудовано спеціальний агрегаційно-ітеративний алгоритм — двопараметричиий метод ітеративного агрегуванпя для диференціального рівняння з двоточковими крайовими умовами. Встановлено умови збіжності методу. Наведено частинні випадки двопараметричного агрегаційно-ітеративпого алгоритму. Institute of Mathematics, NAS of Ukraine 2003-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4011 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 10 (2003); 1425-1431 Український математичний журнал; Том 55 № 10 (2003); 1425-1431 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4011/4734 https://umj.imath.kiev.ua/index.php/umj/article/view/4011/4735 Copyright (c) 2003 Kostyshyn L. P.; Shuvar B. A. |
| spellingShingle | Kostyshyn, L. P. Shuvar, B. A. Костишин, Л. П. Шувар, Б. А. Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems |
| title | Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems |
| title_alt | Агрегаційно-ітеративні способи апроксимації розв'язків
крайових задач |
| title_full | Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems |
| title_fullStr | Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems |
| title_full_unstemmed | Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems |
| title_short | Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems |
| title_sort | aggregate-iterative methods for the approximation of solutions of boundary-value problems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4011 |
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