New Numerical Method for Solving Tenth Order Boundary Value Problems

Ali Akgül, Esra Karatas Akgül, Dumitru Baleanu and Mustafa Inc
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Ali Akgül: Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey
Esra Karatas Akgül: Department of Mathematics, Faculty of Education, Siirt University, TR-56100 Siirt, Turkey
Dumitru Baleanu: Department of Mathematics and Computer Sciences, Art and Science Faculty, Çankaya University, TR-06300 Ankara, Turkey
Mustafa Inc: Department of Mathematics, Science Faculty, Firat University, 23100 Elazig, Turkey

Mathematics, 2018, vol. 6, issue 11, 1-9

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.

Keywords: reproducing kernel Hilbert space method; tenth-order boundary value problems; reproducing kernel functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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