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Article

New Numerical Method for Solving Tenth Order Boundary Value Problems

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
4
Department of Mathematics, Institute of Space Sciences, 077125 Bucharest, Romania
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Department of Mathematics, Science Faculty, Firat University, 23100 Elazig, Turkey
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(11), 245; https://doi.org/10.3390/math6110245
Received: 21 September 2018 / Revised: 4 November 2018 / Accepted: 5 November 2018 / Published: 8 November 2018
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. View Full-Text
Keywords: reproducing kernel Hilbert space method; tenth-order boundary value problems; reproducing kernel functions reproducing kernel Hilbert space method; tenth-order boundary value problems; reproducing kernel functions
MDPI and ACS Style

Akgül, A.; Karatas Akgül, E.; Baleanu, D.; Inc, M. New Numerical Method for Solving Tenth Order Boundary Value Problems. Mathematics 2018, 6, 245. https://doi.org/10.3390/math6110245

AMA Style

Akgül A, Karatas Akgül E, Baleanu D, Inc M. New Numerical Method for Solving Tenth Order Boundary Value Problems. Mathematics. 2018; 6(11):245. https://doi.org/10.3390/math6110245

Chicago/Turabian Style

Akgül, Ali; Karatas Akgül, Esra; Baleanu, Dumitru; Inc, Mustafa. 2018. "New Numerical Method for Solving Tenth Order Boundary Value Problems" Mathematics 6, no. 11: 245. https://doi.org/10.3390/math6110245

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