The exponential twice continuously differentiable $ B$-spline algorithm for Burgers’ equation
The exponential twice continuously differentiable $ B$-spline functions known from the literature as the exponential are used to set up the collocation method for finding solutions of the Burgers’ equation. The effect of the exponential cubic $ B$-splines in the collocation method is sought by study...
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| Datum: | 2018 |
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Institute of Mathematics, NAS of Ukraine
2018
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507407230173184 |
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| author | Adar, N. Dag, I. Ersoy, O. Адар, Н. Даг, І. Ерсой, О. |
| author_facet | Adar, N. Dag, I. Ersoy, O. Адар, Н. Даг, І. Ерсой, О. |
| author_sort | Adar, N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2019-12-05T09:19:59Z |
| description | The exponential twice continuously differentiable $ B$-spline functions known from the literature as the exponential are used
to set up the collocation method for finding solutions of the Burgers’ equation. The effect of the exponential cubic $ B$-splines
in the collocation method is sought by studying the text problems. |
| first_indexed | 2026-03-24T02:08:49Z |
| format | Article |
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| id | umjimathkievua-article-1595 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T02:08:49Z |
| publishDate | 2018 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b3/dddce046a78107ecf82647e5b0213fb3.pdf |
| spelling | umjimathkievua-article-15952019-12-05T09:19:59Z The exponential twice continuously differentiable $ B$-spline algorithm for Burgers’ equation Експоненцiальний двiчi неперервно диференцiйовний $ B$ -сплайновий алгоритм для рiвняння Бюргерса Adar, N. Dag, I. Ersoy, O. Адар, Н. Даг, І. Ерсой, О. The exponential twice continuously differentiable $ B$-spline functions known from the literature as the exponential are used to set up the collocation method for finding solutions of the Burgers’ equation. The effect of the exponential cubic $ B$-splines in the collocation method is sought by studying the text problems. Експоненцiальнi двiчi неперервно диференцiйовнi $ B$-сплайновi функцiї, що вiдомi з лiтератури як експоненцiальнi, застосовано для побудови методу колокацiй для знаходження розв’язкiв рiвняння Бюргерса. Ефект експоненцiальних кубiчних $ B$-сплайнiв у методi колокацiй знайдено за допомогою аналiзу текстових задач. Institute of Mathematics, NAS of Ukraine 2018-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1595 Ukrains’kyi Matematychnyi Zhurnal; Vol. 70 No. 6 (2018); 788-800 Український математичний журнал; Том 70 № 6 (2018); 788-800 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/1595/577 Copyright (c) 2018 Adar N.; Dag I.; Ersoy O. |
| spellingShingle | Adar, N. Dag, I. Ersoy, O. Адар, Н. Даг, І. Ерсой, О. The exponential twice continuously differentiable $ B$-spline algorithm for Burgers’ equation |
| title | The exponential twice continuously differentiable $ B$-spline algorithm
for Burgers’ equation |
| title_alt | Експоненцiальний двiчi неперервно диференцiйовний
$ B$ -сплайновий алгоритм для рiвняння Бюргерса |
| title_full | The exponential twice continuously differentiable $ B$-spline algorithm
for Burgers’ equation |
| title_fullStr | The exponential twice continuously differentiable $ B$-spline algorithm
for Burgers’ equation |
| title_full_unstemmed | The exponential twice continuously differentiable $ B$-spline algorithm
for Burgers’ equation |
| title_short | The exponential twice continuously differentiable $ B$-spline algorithm
for Burgers’ equation |
| title_sort | exponential twice continuously differentiable $ b$-spline algorithm
for burgers’ equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1595 |
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