A new iteration method for the solution of third-order BVP via Green's function

In this study, a new iterative method for third-order boundary value problems based on embedding Green’s function is introduced. The existence and uniqueness theorems are established, and necessary conditions are derived for convergence. The accuracy, efficiency and applicability of the results are...

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Autores principales:	Akgun Fatma Aydın, Rasulov Zaur
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	boundary value problem fixed point iteration method green’s function integral operator rate of convergence 47h10 47j05 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/0b4b7b4bfc404452bc7d9ce4df9c5a13
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spelling	oai:doaj.org-article:0b4b7b4bfc404452bc7d9ce4df9c5a132021-12-05T14:10:45ZA new iteration method for the solution of third-order BVP via Green's function2391-466110.1515/dema-2021-0031https://doaj.org/article/0b4b7b4bfc404452bc7d9ce4df9c5a132021-11-01T00:00:00Zhttps://doi.org/10.1515/dema-2021-0031https://doaj.org/toc/2391-4661In this study, a new iterative method for third-order boundary value problems based on embedding Green’s function is introduced. The existence and uniqueness theorems are established, and necessary conditions are derived for convergence. The accuracy, efficiency and applicability of the results are demonstrated by comparing with the exact results and existing methods. The results of this paper extend and generalize the corresponding results in the literature.Akgun Fatma AydınRasulov ZaurDe Gruyterarticleboundary value problemfixed point iteration methodgreen’s functionintegral operatorrate of convergence47h1047j05MathematicsQA1-939ENDemonstratio Mathematica, Vol 54, Iss 1, Pp 425-435 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	boundary value problem fixed point iteration method green’s function integral operator rate of convergence 47h10 47j05 Mathematics QA1-939
spellingShingle	boundary value problem fixed point iteration method green’s function integral operator rate of convergence 47h10 47j05 Mathematics QA1-939 Akgun Fatma Aydın Rasulov Zaur A new iteration method for the solution of third-order BVP via Green's function
description	In this study, a new iterative method for third-order boundary value problems based on embedding Green’s function is introduced. The existence and uniqueness theorems are established, and necessary conditions are derived for convergence. The accuracy, efficiency and applicability of the results are demonstrated by comparing with the exact results and existing methods. The results of this paper extend and generalize the corresponding results in the literature.
format	article
author	Akgun Fatma Aydın Rasulov Zaur
author_facet	Akgun Fatma Aydın Rasulov Zaur
author_sort	Akgun Fatma Aydın
title	A new iteration method for the solution of third-order BVP via Green's function
title_short	A new iteration method for the solution of third-order BVP via Green's function
title_full	A new iteration method for the solution of third-order BVP via Green's function
title_fullStr	A new iteration method for the solution of third-order BVP via Green's function
title_full_unstemmed	A new iteration method for the solution of third-order BVP via Green's function
title_sort	new iteration method for the solution of third-order bvp via green's function
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/0b4b7b4bfc404452bc7d9ce4df9c5a13
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A new iteration method for the solution of third-order BVP via Green's function

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