Application of the collocation method to the multi-point boundary value problems with integral boundary conditions
An algebraic collocation method for approximating solutions of systems of nonlinear ordinary differential equations is shown to be applicable in the case of linear multipoint boundary conditions containing definite integrals.
Saved in:
| Date: | 1992 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8258 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513015572463616 |
|---|---|
| author | Ronto, N.I. Putyatina, T.V. Ронто, Н.И. Путятина, Т.В. |
| author_facet | Ronto, N.I. Putyatina, T.V. Ронто, Н.И. Путятина, Т.В. |
| author_sort | Ronto, N.I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:08Z |
| description | An algebraic collocation method for approximating solutions of systems of nonlinear ordinary differential equations is shown to be applicable in the case of linear multipoint boundary conditions containing definite integrals. |
| first_indexed | 2026-03-24T03:37:58Z |
| format | Article |
| fulltext |
T44_1548
T44_1549
T44_1550
T44_1551
T44_1552
T44_1553
T44_1554
T44_1555
|
| id | umjimathkievua-article-8258 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:58Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/86/4fa1f15ba8fbf428678f26e1ae108486.pdf |
| spelling | umjimathkievua-article-82582024-03-27T09:55:08Z Application of the collocation method to the multi-point boundary value problems with integral boundary conditions Применение метода коллокации к многоточечным краевым задачам с интегральными краевыми условиями Ronto, N.I. Putyatina, T.V. Ронто, Н.И. Путятина, Т.В. An algebraic collocation method for approximating solutions of systems of nonlinear ordinary differential equations is shown to be applicable in the case of linear multipoint boundary conditions containing definite integrals. Обосновывается метод алгебраической коллокации для приближенного построения решений систем нелинейных обыкновенных дифференциальных уравнений в случае линейных многоточечных краевых условий, содержащих определенные интегралы. Обгрунтовується метод алгебраїчної колокації для наближеної побудови розв’язків систем нелінійних звичайних диференціальних рівнянь у випадку лінійних багатоточкових крайових умов, що містять означені інтеграли. Institute of Mathematics, NAS of Ukraine 1992-11-06 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8258 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 11 (1992); 1548-1555 Український математичний журнал; Том 44 № 11 (1992); 1548-1555 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8258/9838 Copyright (c) 1992 N.I. Ronto, T.V. Putyatina |
| spellingShingle | Ronto, N.I. Putyatina, T.V. Ронто, Н.И. Путятина, Т.В. Application of the collocation method to the multi-point boundary value problems with integral boundary conditions |
| title | Application of the collocation method to the multi-point boundary value problems with integral boundary conditions |
| title_alt | Применение метода коллокации к многоточечным краевым задачам с интегральными краевыми условиями |
| title_full | Application of the collocation method to the multi-point boundary value problems with integral boundary conditions |
| title_fullStr | Application of the collocation method to the multi-point boundary value problems with integral boundary conditions |
| title_full_unstemmed | Application of the collocation method to the multi-point boundary value problems with integral boundary conditions |
| title_short | Application of the collocation method to the multi-point boundary value problems with integral boundary conditions |
| title_sort | application of the collocation method to the multi-point boundary value problems with integral boundary conditions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8258 |
| work_keys_str_mv | AT rontoni applicationofthecollocationmethodtothemultipointboundaryvalueproblemswithintegralboundaryconditions AT putyatinatv applicationofthecollocationmethodtothemultipointboundaryvalueproblemswithintegralboundaryconditions AT rontoni applicationofthecollocationmethodtothemultipointboundaryvalueproblemswithintegralboundaryconditions AT putâtinatv applicationofthecollocationmethodtothemultipointboundaryvalueproblemswithintegralboundaryconditions AT rontoni primeneniemetodakollokaciikmnogotočečnymkraevymzadačamsintegralʹnymikraevymiusloviâmi AT putyatinatv primeneniemetodakollokaciikmnogotočečnymkraevymzadačamsintegralʹnymikraevymiusloviâmi AT rontoni primeneniemetodakollokaciikmnogotočečnymkraevymzadačamsintegralʹnymikraevymiusloviâmi AT putâtinatv primeneniemetodakollokaciikmnogotočečnymkraevymzadačamsintegralʹnymikraevymiusloviâmi |