On the solutions of boundary value problems

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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Bibliographic Details
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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spelling doaj-f327123f8c8a4d7f9611ebc4239121672021-05-15T04:15:58ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032021-05-0111210.11121/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, Iran 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. http://www.ijocta.org/index.php/files/article/view/1015
collection DOAJ
language English
format Article
sources DOAJ
author Ali Akgül
Mir Sajjad Hashemi
Negar Seyfi
spellingShingle Ali Akgül
Mir Sajjad Hashemi
Negar Seyfi
On the solutions of boundary value problems
An International Journal of Optimization and Control: Theories & Applications
author_facet Ali Akgül
Mir Sajjad Hashemi
Negar Seyfi
author_sort Ali Akgül
title On the solutions of boundary value problems
title_short 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_sort on the solutions of boundary value problems
publisher Balikesir University
series An International Journal of Optimization and Control: Theories & Applications
issn 2146-0957
2146-5703
publishDate 2021-05-01
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.
url http://www.ijocta.org/index.php/files/article/view/1015
work_keys_str_mv AT aliakgul onthesolutionsofboundaryvalueproblems
AT mirsajjadhashemi onthesolutionsofboundaryvalueproblems
AT negarseyfi onthesolutionsofboundaryvalueproblems
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