The Consecutive Substitution Method for Boundary Value Problems (BVPs) with Retarded Argument

In this study, we applied an approximate solution method for solving the boundary value problems (BVPs) with retarded argument. The method is the consecutive substitution method. The consecutive substitution method was applied and an approximate solution was obtained. The numerical solution and the analytical solution are compared in the table. The solutions were found to be compatible.

Keywords: approximate solution; boundary-value problem; numerical solution; retarded argument; solution methods; substitution method; boundary value problems

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Publication Name
(dc.title)
The Consecutive Substitution Method for Boundary Value Problems (BVPs) with Retarded Argument
Author/s
(dc.contributor.yazarlar)
Arzu Aykut, Ercan Çelik
Publication type
(dc.type)
Makale
Language
(dc.language)
İngilizce
Publication year
(dc.date.issued)
2023
National/International
(dc.identifier.ulusaluluslararasi)
Uluslararası
Source
(dc.relation.journal)
Journal of Applied Mathematics
Volume/Issue
(dc.identifier.volume)
2023
Page
(dc.identifier.startpage)
Article Number: 3226604
ISSN/ISBN
(dc.identifier.issn)
ISSN: 1110-757X; Online ISSN: 1687-0042
Publisher
(dc.publisher)
Hindawi Publishing Corporation
Databases
(dc.contributor.veritaban)
Web of Science Core Collection
Databases
(dc.contributor.veritaban)
Hindawi
Databases
(dc.contributor.veritaban)
Scopus
Index Type
(dc.identifier.index)
ESCI
Index Type
(dc.identifier.index)
Scopus
Abstract
(dc.description.abstract)
In this study, we applied an approximate solution method for solving the boundary value problems (BVPs) with retarded argument. The method is the consecutive substitution method. The consecutive substitution method was applied and an approximate solution was obtained. The numerical solution and the analytical solution are compared in the table. The solutions were found to be compatible.
Abstract
(dc.description.abstract)
Keywords: approximate solution; boundary-value problem; numerical solution; retarded argument; solution methods; substitution method; boundary value problems
URL
(dc.rights)
https://www.hindawi.com/journals/jam/2023/3226604/
DOI
(dc.identifier.doi)
10.1155/2023/3226604
Faculty / Institute
(dc.identifier.fakulte)
Fen Fakültesi
Department
(dc.identifier.bolum)
Uygulamalı Matematik ve Enformatik Bölümü
Author(s) in the Institution
(dc.contributor.author)
Ercan ÇELİK
Kayıt No
(dc.identifier.kayitno)
BLEC5B92A6
Record Add Date
(dc.date.available)
2023-05-08
Notes (Publication year)
(dc.identifier.notyayinyili)
2023
Wos No
(dc.identifier.wos)
WOS:000974779000001
Subject Headings
(dc.subject)
approximate solution
Subject Headings
(dc.subject)
boundary-value problem
Subject Headings
(dc.subject)
numerical solution
Subject Headings
(dc.subject)
retarded argument
Subject Headings
(dc.subject)
solution methods
Subject Headings
(dc.subject)
substitution method
Subject Headings
(dc.subject)
boundary value problems
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