Solving boundary value problems with Neumann conditions using direct method
In this paper, the direct method is utilized for solving second order two-point boundary value problem of Neumann type. The method will obtain the solution of the second order boundary value problem directly without reducing it to to first order equations. The method will be implemented using variab...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IDOSI Publications
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/44294/1/Solving%20boundary%20value%20problems%20with%20Neumann%20conditions%20using%20direct%20method.pdf |
| _version_ | 1825929514134274048 |
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| author | Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed Ismail, Fudziah |
| author_facet | Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed Ismail, Fudziah |
| author_sort | Phang, Pei See |
| collection | UPM |
| description | In this paper, the direct method is utilized for solving second order two-point boundary value problem of Neumann type. The method will obtain the solution of the second order boundary value problem directly without reducing it to to first order equations. The method will be implemented using variable step size via shooting technique adapted with the Newton method. Numerical results are given to compare the efficiency of the proposed method with the bvp4c from the Matlab solver. |
| first_indexed | 2024-03-06T08:57:51Z |
| format | Article |
| id | upm.eprints-44294 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:57:51Z |
| publishDate | 2013 |
| publisher | IDOSI Publications |
| record_format | dspace |
| spelling | upm.eprints-442942020-07-09T07:54:23Z http://psasir.upm.edu.my/id/eprint/44294/ Solving boundary value problems with Neumann conditions using direct method Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed Ismail, Fudziah In this paper, the direct method is utilized for solving second order two-point boundary value problem of Neumann type. The method will obtain the solution of the second order boundary value problem directly without reducing it to to first order equations. The method will be implemented using variable step size via shooting technique adapted with the Newton method. Numerical results are given to compare the efficiency of the proposed method with the bvp4c from the Matlab solver. IDOSI Publications 2013 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/44294/1/Solving%20boundary%20value%20problems%20with%20Neumann%20conditions%20using%20direct%20method.pdf Phang, Pei See and Abdul Majid, Zanariah and Suleiman, Mohamed and Ismail, Fudziah (2013) Solving boundary value problems with Neumann conditions using direct method. World Applied Sciences Journal, 21. pp. 129-133. ISSN 1818-4952; ESSN: 1991-6426 https://www.idosi.org/wasj/wasj21(mae)2013.htm 10.5829/idosi.wasj.2013.21.mae.99937 |
| spellingShingle | Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed Ismail, Fudziah Solving boundary value problems with Neumann conditions using direct method |
| title | Solving boundary value problems with Neumann conditions using direct method |
| title_full | Solving boundary value problems with Neumann conditions using direct method |
| title_fullStr | Solving boundary value problems with Neumann conditions using direct method |
| title_full_unstemmed | Solving boundary value problems with Neumann conditions using direct method |
| title_short | Solving boundary value problems with Neumann conditions using direct method |
| title_sort | solving boundary value problems with neumann conditions using direct method |
| url | http://psasir.upm.edu.my/id/eprint/44294/1/Solving%20boundary%20value%20problems%20with%20Neumann%20conditions%20using%20direct%20method.pdf |
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