Collocation method for solving singularly perturbed boundary-value problems by using cubic splines
We consider singularly perturbed boundary-value problems in the case of boundary layers. To find approximate solutions of these problems, we use a collocation method based on cubic splines of minimal defect on nonuniform meshes.
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| Datum: | 1994 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5738 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511962055573504 |
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| author | Blatov, I. A. Pokornaya, I. Yu. Strygin, V. V. Блатов, Н. А. Покорная, И. Ю. Стрыгин, В. В. Блатов, Н. А. Покорная, И. Ю. Стрыгин, В. В. |
| author_facet | Blatov, I. A. Pokornaya, I. Yu. Strygin, V. V. Блатов, Н. А. Покорная, И. Ю. Стрыгин, В. В. Блатов, Н. А. Покорная, И. Ю. Стрыгин, В. В. |
| author_sort | Blatov, I. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:47Z |
| description | We consider singularly perturbed boundary-value problems in the case of boundary layers. To find approximate solutions of these problems, we use a collocation method based on cubic splines of minimal defect on nonuniform meshes. |
| first_indexed | 2026-03-24T03:21:13Z |
| format | Article |
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| id | umjimathkievua-article-5738 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:21:13Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b3/2c8ce0a5a9d007e1c14f5562e56245b3.pdf |
| spelling | umjimathkievua-article-57382020-03-19T09:16:47Z Collocation method for solving singularly perturbed boundary-value problems by using cubic splines Метод коллокацпи решения сингулярно возмущенных краевых задач с помощью кубических сплайнов Blatov, I. A. Pokornaya, I. Yu. Strygin, V. V. Блатов, Н. А. Покорная, И. Ю. Стрыгин, В. В. Блатов, Н. А. Покорная, И. Ю. Стрыгин, В. В. We consider singularly perturbed boundary-value problems in the case of boundary layers. To find approximate solutions of these problems, we use a collocation method based on cubic splines of minimal defect on nonuniform meshes. Досліджуються сингулярно збурені крайові задачі при наявності пограншарів. Для наближеного розв’язку таких задач застосовується метод колокації на основі кубічних сплайнів мінімального дефекту на нерівномірних сітках. Institute of Mathematics, NAS of Ukraine 1994-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5738 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 4 (1994); 411–417 Український математичний журнал; Том 46 № 4 (1994); 411–417 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5738/8161 https://umj.imath.kiev.ua/index.php/umj/article/view/5738/8162 Copyright (c) 1994 Blatov I. A.; Pokornaya I. Yu.; Strygin V. V. |
| spellingShingle | Blatov, I. A. Pokornaya, I. Yu. Strygin, V. V. Блатов, Н. А. Покорная, И. Ю. Стрыгин, В. В. Блатов, Н. А. Покорная, И. Ю. Стрыгин, В. В. Collocation method for solving singularly perturbed boundary-value problems by using cubic splines |
| title | Collocation method for solving singularly perturbed boundary-value problems by using cubic splines |
| title_alt | Метод коллокацпи решения сингулярно возмущенных краевых задач с помощью кубических сплайнов |
| title_full | Collocation method for solving singularly perturbed boundary-value problems by using cubic splines |
| title_fullStr | Collocation method for solving singularly perturbed boundary-value problems by using cubic splines |
| title_full_unstemmed | Collocation method for solving singularly perturbed boundary-value problems by using cubic splines |
| title_short | Collocation method for solving singularly perturbed boundary-value problems by using cubic splines |
| title_sort | collocation method for solving singularly perturbed boundary-value problems by using cubic splines |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5738 |
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