Solving third order boundary value problem with fifth order method
A fifth order direct method is developed for the numerical solution of nonlinear boundary value problems (BVPs) directly. Most of the existence research involving BVPs will reduce the problem to a system of first order Ordinary Differential Equations (ODEs). However, the proposed method will solve t...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57281/1/Solving%20third%20order%20boundary%20value%20problem%20with%20fifth%20order%20method.pdf |
| _version_ | 1796976660194525184 |
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| author | Ahmad Zulkifli, Ahmad Shah Abdullah Abdul Majid, Zanariah Senu, Norazak |
| author_facet | Ahmad Zulkifli, Ahmad Shah Abdullah Abdul Majid, Zanariah Senu, Norazak |
| author_sort | Ahmad Zulkifli, Ahmad Shah Abdullah |
| collection | UPM |
| description | A fifth order direct method is developed for the numerical solution of nonlinear boundary value problems (BVPs) directly. Most of the existence research involving BVPs will reduce the problem to a system of first order Ordinary Differential Equations (ODEs). However, the proposed method will solve the third order BVPs directly without reducing to first order ODEs. The direct method will solve the nonlinear third order BVPs by shooting technique using constant step size. Numerical result is presented to illustrate the performance of the proposed method. The results clearly show that the proposed method is suitable for solving third order nonlinear BVPs. |
| first_indexed | 2024-03-06T09:28:54Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57281 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:28:54Z |
| publishDate | 2012 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | upm.eprints-572812017-09-26T03:59:08Z http://psasir.upm.edu.my/id/eprint/57281/ Solving third order boundary value problem with fifth order method Ahmad Zulkifli, Ahmad Shah Abdullah Abdul Majid, Zanariah Senu, Norazak A fifth order direct method is developed for the numerical solution of nonlinear boundary value problems (BVPs) directly. Most of the existence research involving BVPs will reduce the problem to a system of first order Ordinary Differential Equations (ODEs). However, the proposed method will solve the third order BVPs directly without reducing to first order ODEs. The direct method will solve the nonlinear third order BVPs by shooting technique using constant step size. Numerical result is presented to illustrate the performance of the proposed method. The results clearly show that the proposed method is suitable for solving third order nonlinear BVPs. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57281/1/Solving%20third%20order%20boundary%20value%20problem%20with%20fifth%20order%20method.pdf Ahmad Zulkifli, Ahmad Shah Abdullah and Abdul Majid, Zanariah and Senu, Norazak (2012) Solving third order boundary value problem with fifth order method. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 538-543). 10.1063/1.4801172 |
| spellingShingle | Ahmad Zulkifli, Ahmad Shah Abdullah Abdul Majid, Zanariah Senu, Norazak Solving third order boundary value problem with fifth order method |
| title | Solving third order boundary value problem with fifth order method |
| title_full | Solving third order boundary value problem with fifth order method |
| title_fullStr | Solving third order boundary value problem with fifth order method |
| title_full_unstemmed | Solving third order boundary value problem with fifth order method |
| title_short | Solving third order boundary value problem with fifth order method |
| title_sort | solving third order boundary value problem with fifth order method |
| url | http://psasir.upm.edu.my/id/eprint/57281/1/Solving%20third%20order%20boundary%20value%20problem%20with%20fifth%20order%20method.pdf |
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