Solving linear Neumann boundary value problems using block methods
A direct two-point block one-step method for solving linear Neumann boundary value problems (LNBVP) is considered. This method will solve the second order LNBVP directly without reducing it to the system of first order equations. The direct solution of LNBVP will be calculated at two points simultan...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57342/ http://psasir.upm.edu.my/id/eprint/57342/1/Solving%20linear%20Neumann%20boundary%20value%20problems%20using%20block%20methods.pdf |
| _version_ | 1848853338496434176 |
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| author | Hasni, Mohd Mughti Abdul Majid, Zanariah Senu, Norazak |
| author_facet | Hasni, Mohd Mughti Abdul Majid, Zanariah Senu, Norazak |
| author_sort | Hasni, Mohd Mughti |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A direct two-point block one-step method for solving linear Neumann boundary value problems (LNBVP) is considered. This method will solve the second order LNBVP directly without reducing it to the system of first order equations. The direct solution of LNBVP will be calculated at two points simultaneously using constant step size. This method will be used together with the linear shooting technique to construct the numerical solution. The implementation is based on the predictor and corrector formulas in the PE(CE)m mode. Numerical results are given to show the performance of this method compared to the existing methods. |
| first_indexed | 2025-11-15T10:52:23Z |
| format | Conference or Workshop Item |
| id | upm-57342 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:23Z |
| publishDate | 2012 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573422017-09-26T04:06:55Z http://psasir.upm.edu.my/id/eprint/57342/ Solving linear Neumann boundary value problems using block methods Hasni, Mohd Mughti Abdul Majid, Zanariah Senu, Norazak A direct two-point block one-step method for solving linear Neumann boundary value problems (LNBVP) is considered. This method will solve the second order LNBVP directly without reducing it to the system of first order equations. The direct solution of LNBVP will be calculated at two points simultaneously using constant step size. This method will be used together with the linear shooting technique to construct the numerical solution. The implementation is based on the predictor and corrector formulas in the PE(CE)m mode. Numerical results are given to show the performance of this method compared to the existing methods. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57342/1/Solving%20linear%20Neumann%20boundary%20value%20problems%20using%20block%20methods.pdf Hasni, Mohd Mughti and Abdul Majid, Zanariah and Senu, Norazak (2012) Solving linear Neumann boundary value problems using block methods. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 347-353). 10.1063/1.4801145 |
| spellingShingle | Hasni, Mohd Mughti Abdul Majid, Zanariah Senu, Norazak Solving linear Neumann boundary value problems using block methods |
| title | Solving linear Neumann boundary value problems using block methods |
| title_full | Solving linear Neumann boundary value problems using block methods |
| title_fullStr | Solving linear Neumann boundary value problems using block methods |
| title_full_unstemmed | Solving linear Neumann boundary value problems using block methods |
| title_short | Solving linear Neumann boundary value problems using block methods |
| title_sort | solving linear neumann boundary value problems using block methods |
| url | http://psasir.upm.edu.my/id/eprint/57342/ http://psasir.upm.edu.my/id/eprint/57342/ http://psasir.upm.edu.my/id/eprint/57342/1/Solving%20linear%20Neumann%20boundary%20value%20problems%20using%20block%20methods.pdf |