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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| Format: | Article |
| Language: | English |
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Academic Publications
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/79395/ http://psasir.upm.edu.my/id/eprint/79395/1/Direct%20one-step%20method%20for%20solving%20third-order%20boundary%20value%20problems.pdf |
| _version_ | 1848858668452282368 |
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| author | Abdulsalam Jasim, Athraa Senu, Norazak Abdul Majid, Zanariah |
| author_facet | Abdulsalam Jasim, Athraa Senu, Norazak Abdul Majid, Zanariah |
| author_sort | Abdulsalam Jasim, Athraa |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T12:17:06Z |
| format | Article |
| id | upm-79395 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:17:06Z |
| publishDate | 2019 |
| publisher | Academic Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Abdulsalam Jasim, Athraa Senu, Norazak Abdul Majid, Zanariah Direct one-step method for solving third-order boundary value problems |
| title | 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_short | Direct one-step method for solving third-order boundary value problems |
| title_sort | direct one-step method for solving third-order boundary value problems |
| url | http://psasir.upm.edu.my/id/eprint/79395/ http://psasir.upm.edu.my/id/eprint/79395/ http://psasir.upm.edu.my/id/eprint/79395/ http://psasir.upm.edu.my/id/eprint/79395/1/Direct%20one-step%20method%20for%20solving%20third-order%20boundary%20value%20problems.pdf |