On the solution of two point boundary value problems with two point direct method.
The two point boundary value problems (BVPs) occur in a wide variety of applications especially in sciences such as chemistry and biology. In this paper, we propose two point direct method of order six for solving nonlinear two point boundary value problems directly. This method is presented in a si...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
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World Scientific Publishing Company
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25315/ http://psasir.upm.edu.my/id/eprint/25315/1/On%20the%20solution%20of%20two%20point%20boundary%20value%20problems%20with%20two%20point%20direct%20method.pdf |
| _version_ | 1848845276295462912 |
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| author | Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed |
| author_facet | Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed |
| author_sort | Phang, Pei See |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The two point boundary value problems (BVPs) occur in a wide variety of applications especially in sciences such as chemistry and biology. In this paper, we propose two point direct method of order six for solving nonlinear two point boundary value problems directly. This method is presented in a simple form of Adams Mouton type and determines the approximate solution at two point simultaneously. The method will be implemented using constant step size via shooting technique adapted with three-step iterative method. Numerical results are given to compare the efficiency of the proposed method with the Runge-Kutta and bvp4c method.
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| first_indexed | 2025-11-15T08:44:14Z |
| format | Article |
| id | upm-25315 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:44:14Z |
| publishDate | 2012 |
| publisher | World Scientific Publishing Company |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-253152015-10-28T06:44:27Z http://psasir.upm.edu.my/id/eprint/25315/ On the solution of two point boundary value problems with two point direct method. Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed The two point boundary value problems (BVPs) occur in a wide variety of applications especially in sciences such as chemistry and biology. In this paper, we propose two point direct method of order six for solving nonlinear two point boundary value problems directly. This method is presented in a simple form of Adams Mouton type and determines the approximate solution at two point simultaneously. The method will be implemented using constant step size via shooting technique adapted with three-step iterative method. Numerical results are given to compare the efficiency of the proposed method with the Runge-Kutta and bvp4c method. World Scientific Publishing Company 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25315/1/On%20the%20solution%20of%20two%20point%20boundary%20value%20problems%20with%20two%20point%20direct%20method.pdf Phang, Pei See and Abdul Majid, Zanariah and Suleiman, Mohamed (2012) On the solution of two point boundary value problems with two point direct method. International Journal of Modern Physics: Conference Series, 9 (2012). pp. 566-573. ISSN 2010-1945 http://www.worldscientific.com/ 10.1142/S2010194512005673 English |
| spellingShingle | Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed On the solution of two point boundary value problems with two point direct method. |
| title | On the solution of two point boundary value problems with two point direct method.
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| title_full | On the solution of two point boundary value problems with two point direct method.
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| title_fullStr | On the solution of two point boundary value problems with two point direct method.
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| title_full_unstemmed | On the solution of two point boundary value problems with two point direct method.
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| title_short | On the solution of two point boundary value problems with two point direct method.
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| title_sort | on the solution of two point boundary value problems with two point direct method. |
| url | http://psasir.upm.edu.my/id/eprint/25315/ http://psasir.upm.edu.my/id/eprint/25315/ http://psasir.upm.edu.my/id/eprint/25315/ http://psasir.upm.edu.my/id/eprint/25315/1/On%20the%20solution%20of%20two%20point%20boundary%20value%20problems%20with%20two%20point%20direct%20method.pdf |