Abstract

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.

Details

Title
New Numerical Method for Solving Tenth Order Boundary Value Problems
Author
Akgül, Ali 1   VIAFID ORCID Logo  ; Esra Karatas Akgül 2 ; Baleanu, Dumitru 3 ; Inc, Mustafa 4   VIAFID ORCID Logo 

1  Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey 
2  Department of Mathematics, Faculty of Education, Siirt University, TR-56100 Siirt, Turkey 
3  Department of Mathematics and Computer Sciences, Art and Science Faculty, Çankaya University, TR-06300 Ankara, Turkey; Department of Mathematics, Institute of Space Sciences, 077125 Bucharest, Romania 
4  Department of Mathematics, Science Faculty, Firat University, 23100 Elazig, Turkey 
First page
245
Publication year
2018
Publication date
2018
Publisher
MDPI AG
e-ISSN
22277390
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.3390/math6110245
ProQuest document ID
2582843272
Copyright
© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.