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Direct one-step method for solving third-order boundary value problems

A direct explicit Runge-Kutta type (RKT) method via shooting technique to approximate analytical solutions to the third-order two-point boundary value problems (BVPs) with boundary condition type I and II are proposed. In this paper first, a three-stage fourth-order direct explicit Runge-Kutta type...

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主要な著者: Abdulsalam Jasim, Athraa, Senu, Norazak, Abdul Majid, Zanariah
フォーマット: 論文
言語:English
出版事項: Academic Publications 2019
オンライン･アクセス:http://psasir.upm.edu.my/id/eprint/79395/1/Direct%20one-step%20method%20for%20solving%20third-order%20boundary%20value%20problems.pdf
http://psasir.upm.edu.my/id/eprint/79395/
http://www.diogenes.bg/ijam/contents/2019-32-2/1/index.html#
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spelling my.upm.eprints.793952021-03-30T23:45:20Z http://psasir.upm.edu.my/id/eprint/79395/ Direct one-step method for solving third-order boundary value problems Abdulsalam Jasim, Athraa Senu, Norazak Abdul Majid, Zanariah A direct explicit Runge-Kutta type (RKT) method via shooting technique to approximate analytical solutions to the third-order two-point boundary value problems (BVPs) with boundary condition type I and II are proposed. In this paper first, a three-stage fourth-order direct explicit Runge-Kutta type method denoted as RKT3s4 is constructed. A new algorithm of shooting technique for solving two-point BVPs for third-order ordinary differential equations (ODEs) is presented. Academic Publications 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/79395/1/Direct%20one-step%20method%20for%20solving%20third-order%20boundary%20value%20problems.pdf Abdulsalam Jasim, Athraa and Senu, Norazak and Abdul Majid, Zanariah (2019) Direct one-step method for solving third-order boundary value problems. International Journal of Applied Mathematics, 32 (2). pp. 155-176. ISSN 1311-1728; ESSN: 1314-8060 http://www.diogenes.bg/ijam/contents/2019-32-2/1/index.html# 10.12732/ijam.v32i2.1
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description A direct explicit Runge-Kutta type (RKT) method via shooting technique to approximate analytical solutions to the third-order two-point boundary value problems (BVPs) with boundary condition type I and II are proposed. In this paper first, a three-stage fourth-order direct explicit Runge-Kutta type method denoted as RKT3s4 is constructed. A new algorithm of shooting technique for solving two-point BVPs for third-order ordinary differential equations (ODEs) is presented.
format Article
author Abdulsalam Jasim, Athraa
Senu, Norazak
Abdul Majid, Zanariah
spellingShingle Abdulsalam Jasim, Athraa
Senu, Norazak
Abdul Majid, Zanariah
Direct one-step method for solving third-order boundary value problems
author_facet Abdulsalam Jasim, Athraa
Senu, Norazak
Abdul Majid, Zanariah
author_sort Abdulsalam Jasim, Athraa
title Direct one-step method for solving third-order boundary value problems
title_short Direct one-step method for solving third-order boundary value problems
title_full Direct one-step method for solving third-order boundary value problems
title_fullStr Direct one-step method for solving third-order boundary value problems
title_full_unstemmed Direct one-step method for solving third-order boundary value problems
title_sort direct one-step method for solving third-order boundary value problems
publisher Academic Publications
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/79395/1/Direct%20one-step%20method%20for%20solving%20third-order%20boundary%20value%20problems.pdf
http://psasir.upm.edu.my/id/eprint/79395/
http://www.diogenes.bg/ijam/contents/2019-32-2/1/index.html#
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score 13.251813

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