New Numerical Method for Solving Tenth Order Boundary Value Problems
In this paper, we implement reproducing kernel Hilbert space method to tenth order boundary value problems. These problems are important for mathematicians. Different techniques were applied to get approximate solutions of such problems. We obtain some useful reproducing kernel functions to get appr...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/6/11/245 |
| _version_ | 1811234478150909952 |
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| author | Ali Akgül Esra Karatas Akgül Dumitru Baleanu Mustafa Inc |
| author_facet | Ali Akgül Esra Karatas Akgül Dumitru Baleanu Mustafa Inc |
| author_sort | Ali Akgül |
| collection | DOAJ |
| description | In this paper, we implement reproducing kernel Hilbert space method to tenth order boundary value problems. These problems are important for mathematicians. Different techniques were applied to get approximate solutions of such problems. We obtain some useful reproducing kernel functions to get approximate solutions. We obtain very efficient results by this method. We show our numerical results by tables. |
| first_indexed | 2024-04-12T11:36:58Z |
| format | Article |
| id | doaj.art-e2c3d7cd50654000ae95fb8f52296c63 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-12T11:36:58Z |
| publishDate | 2018-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e2c3d7cd50654000ae95fb8f52296c632022-12-22T03:34:48ZengMDPI AGMathematics2227-73902018-11-0161124510.3390/math6110245math6110245New Numerical Method for Solving Tenth Order Boundary Value ProblemsAli Akgül0Esra Karatas Akgül1Dumitru Baleanu2Mustafa Inc3Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, TurkeyDepartment of Mathematics, Faculty of Education, Siirt University, TR-56100 Siirt, TurkeyDepartment of Mathematics and Computer Sciences, Art and Science Faculty, Çankaya University, TR-06300 Ankara, TurkeyDepartment of Mathematics, Science Faculty, Firat University, 23100 Elazig, TurkeyIn this paper, we implement reproducing kernel Hilbert space method to tenth order boundary value problems. These problems are important for mathematicians. Different techniques were applied to get approximate solutions of such problems. We obtain some useful reproducing kernel functions to get approximate solutions. We obtain very efficient results by this method. We show our numerical results by tables.https://www.mdpi.com/2227-7390/6/11/245reproducing kernel Hilbert space methodtenth-order boundary value problemsreproducing kernel functions |
| spellingShingle | Ali Akgül Esra Karatas Akgül Dumitru Baleanu Mustafa Inc New Numerical Method for Solving Tenth Order Boundary Value Problems Mathematics reproducing kernel Hilbert space method tenth-order boundary value problems reproducing kernel functions |
| title | New Numerical Method for Solving Tenth Order Boundary Value Problems |
| title_full | New Numerical Method for Solving Tenth Order Boundary Value Problems |
| title_fullStr | New Numerical Method for Solving Tenth Order Boundary Value Problems |
| title_full_unstemmed | New Numerical Method for Solving Tenth Order Boundary Value Problems |
| title_short | New Numerical Method for Solving Tenth Order Boundary Value Problems |
| title_sort | new numerical method for solving tenth order boundary value problems |
| topic | reproducing kernel Hilbert space method tenth-order boundary value problems reproducing kernel functions |
| url | https://www.mdpi.com/2227-7390/6/11/245 |
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