Solving third order boundary value problem using fourth order block method
A fourth order two-point block method is developed for solving nonlinear third order boundary value problems (BVPs) directly. The two-point block method will solve the nonlinear thirdorder BVPs at two points simultaneously within the block. The shooting technique will use the Newton's method fo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
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Hikari Ltd
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30193/ http://psasir.upm.edu.my/id/eprint/30193/1/Solving%20third%20order%20boundary%20value%20problem%20using%20fourth%20order%20block%20method.pdf |
| _version_ | 1848846607993274368 |
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| author | Abdullah, Ahmad Shah Abdul Majid, Zanariah Senu, Norazak |
| author_facet | Abdullah, Ahmad Shah Abdul Majid, Zanariah Senu, Norazak |
| author_sort | Abdullah, Ahmad Shah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A fourth order two-point block method is developed for solving nonlinear third order boundary value problems (BVPs) directly. The two-point block method will solve the nonlinear thirdorder BVPs at two points simultaneously within the block. The shooting technique will use the Newton's method for checking of the convergent and the guessing values for the next block. Theproposed method will be implemented using constant step size and the PECE mode. Numerical examples is presented to illustrate the applicability of the propose method. The results clearly show that the proposed block method is able to produce good results compared to the existing method. |
| first_indexed | 2025-11-15T09:05:24Z |
| format | Article |
| id | upm-30193 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:24Z |
| publishDate | 2013 |
| publisher | Hikari Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-301932015-09-18T07:42:29Z http://psasir.upm.edu.my/id/eprint/30193/ Solving third order boundary value problem using fourth order block method Abdullah, Ahmad Shah Abdul Majid, Zanariah Senu, Norazak A fourth order two-point block method is developed for solving nonlinear third order boundary value problems (BVPs) directly. The two-point block method will solve the nonlinear thirdorder BVPs at two points simultaneously within the block. The shooting technique will use the Newton's method for checking of the convergent and the guessing values for the next block. Theproposed method will be implemented using constant step size and the PECE mode. Numerical examples is presented to illustrate the applicability of the propose method. The results clearly show that the proposed block method is able to produce good results compared to the existing method. Hikari Ltd 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30193/1/Solving%20third%20order%20boundary%20value%20problem%20using%20fourth%20order%20block%20method.pdf Abdullah, Ahmad Shah and Abdul Majid, Zanariah and Senu, Norazak (2013) Solving third order boundary value problem using fourth order block method. Applied Mathematical Sciences, 7 (53). pp. 2629-2645. ISSN 1312-885X; ESSN: 1314-7552 http://www.m-hikari.com/ams/ams-2013/ams-53-56-2013/index.html English |
| spellingShingle | Abdullah, Ahmad Shah Abdul Majid, Zanariah Senu, Norazak Solving third order boundary value problem using fourth order block method |
| title | Solving third order boundary value problem using fourth order block method |
| title_full | Solving third order boundary value problem using fourth order block method |
| title_fullStr | Solving third order boundary value problem using fourth order block method |
| title_full_unstemmed | Solving third order boundary value problem using fourth order block method |
| title_short | Solving third order boundary value problem using fourth order block method |
| title_sort | solving third order boundary value problem using fourth order block method |
| url | http://psasir.upm.edu.my/id/eprint/30193/ http://psasir.upm.edu.my/id/eprint/30193/ http://psasir.upm.edu.my/id/eprint/30193/1/Solving%20third%20order%20boundary%20value%20problem%20using%20fourth%20order%20block%20method.pdf |