On the solutions of boundary value problems

We investigate the nonlinear boundary value problems by reproducing kernel Hilbert space technique in this paper. We construct some reproducing kernel Hilbert spaces. We define a bounded linear operator to obtain the solutions of the problems. We demonstrate our numerical results by some tables. We...

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Main Authors: Ali Akgül, Mir Sajjad Hashemi, Negar Seyfi
Format: Article
Language:English
Published: Balikesir University 2021-05-01
Series:An International Journal of Optimization and Control: Theories & Applications
Online Access:http://www.ijocta.org/index.php/files/article/view/1015
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author Ali Akgül
Mir Sajjad Hashemi
Negar Seyfi
author_facet Ali Akgül
Mir Sajjad Hashemi
Negar Seyfi
author_sort Ali Akgül
collection DOAJ
description We investigate the nonlinear boundary value problems by reproducing kernel Hilbert space technique in this paper. We construct some reproducing kernel Hilbert spaces. We define a bounded linear operator to obtain the solutions of the problems. We demonstrate our numerical results by some tables. We compare our numerical results with some results exist in the literature to present the efficiency of the proposed method.
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spelling doaj.art-f327123f8c8a4d7f9611ebc4239121672023-02-15T16:21:05ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032021-05-0111210.11121/ijocta.01.2021.001015On the solutions of boundary value problemsAli Akgül0Mir Sajjad Hashemi1Negar Seyfi2Siirt University, Art and Science Faculty, Department of Mathematics, Siirt, TurkeyDepartment of Mathematics, Basic Science Faculty, University of Bonab, Bonab, IranDepartment of Mathematics, Basic Science Faculty, University of Bonab, Bonab, IranWe investigate the nonlinear boundary value problems by reproducing kernel Hilbert space technique in this paper. We construct some reproducing kernel Hilbert spaces. We define a bounded linear operator to obtain the solutions of the problems. We demonstrate our numerical results by some tables. We compare our numerical results with some results exist in the literature to present the efficiency of the proposed method.http://www.ijocta.org/index.php/files/article/view/1015
spellingShingle Ali Akgül
Mir Sajjad Hashemi
Negar Seyfi
On the solutions of boundary value problems
An International Journal of Optimization and Control: Theories & Applications
title On the solutions of boundary value problems
title_full On the solutions of boundary value problems
title_fullStr On the solutions of boundary value problems
title_full_unstemmed On the solutions of boundary value problems
title_short On the solutions of boundary value problems
title_sort on the solutions of boundary value problems
url http://www.ijocta.org/index.php/files/article/view/1015
work_keys_str_mv AT aliakgul onthesolutionsofboundaryvalueproblems
AT mirsajjadhashemi onthesolutionsofboundaryvalueproblems
AT negarseyfi onthesolutionsofboundaryvalueproblems