On Bernoulli boundary value problem
We give a constructive proof of the existence and uniqueness of the solution, under certain conditions, by Picard’s iteration. Moreover Newton’s iteration method is considered for the numerical computation of the solution.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Università degli Studi di Catania
2007-12-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/34 |
| _version_ | 1818191028317847552 |
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| author | Francesco A. Costabile Annarosa Serpe |
| author_facet | Francesco A. Costabile Annarosa Serpe |
| author_sort | Francesco A. Costabile |
| collection | DOAJ |
| description | We give a constructive proof of the existence and uniqueness of the solution, under certain conditions, by Picard’s iteration. Moreover Newton’s iteration method is considered for the numerical computation of the solution. |
| first_indexed | 2024-12-12T00:08:06Z |
| format | Article |
| id | doaj.art-62556a0cc2e446319c41866255c54f38 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-12T00:08:06Z |
| publishDate | 2007-12-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-62556a0cc2e446319c41866255c54f382022-12-22T00:45:04ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982007-12-0162216317332On Bernoulli boundary value problemFrancesco A. Costabile0Annarosa Serpe1University of CalabriaUniversity of CalabriaWe give a constructive proof of the existence and uniqueness of the solution, under certain conditions, by Picard’s iteration. Moreover Newton’s iteration method is considered for the numerical computation of the solution.http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/34BernoulliGreen functionPicard's iterationNewton iteration |
| spellingShingle | Francesco A. Costabile Annarosa Serpe On Bernoulli boundary value problem Le Matematiche Bernoulli Green function Picard's iteration Newton iteration |
| title | On Bernoulli boundary value problem |
| title_full | On Bernoulli boundary value problem |
| title_fullStr | On Bernoulli boundary value problem |
| title_full_unstemmed | On Bernoulli boundary value problem |
| title_short | On Bernoulli boundary value problem |
| title_sort | on bernoulli boundary value problem |
| topic | Bernoulli Green function Picard's iteration Newton iteration |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/34 |
| work_keys_str_mv | AT francescoacostabile onbernoulliboundaryvalueproblem AT annarosaserpe onbernoulliboundaryvalueproblem |