Direct 4-point 1-step block method for solving Dirichlet boundary value problem
This paper presents 4-point 1-step block method (4LBVP) to solve the linear 2nd order boundary value problem (BVP) with Dirichlet boundary condition. 4LBVP will solve the linear 2nd order BVP with Dirichlet boundary condition directly without the need to reduce it first into the system of 1st order...
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/51889/ http://psasir.upm.edu.my/id/eprint/51889/1/Direct%204-point%201-step%20block%20method%20for%20solving%20Dirichlet%20boundary%20value%20problem.pdf |
| _version_ | 1848851955750797312 |
|---|---|
| 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 | This paper presents 4-point 1-step block method (4LBVP) to solve the linear 2nd order boundary value problem (BVP) with Dirichlet boundary condition. 4LBVP will solve the linear 2nd order BVP with Dirichlet boundary condition directly without the need to reduce it first into the system of 1st order equations. 4LBVP will produce several numerical solutions simultaneously in one step. The formulation of the 4LBVP will be based on the Lagrange interpolating polynomial. 4LBVP will be used together with the linear shooting technique to produce the numerical solutions. Comparison with other methods will be given to show the advantages of this method. |
| first_indexed | 2025-11-15T10:30:24Z |
| format | Conference or Workshop Item |
| id | upm-51889 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:24Z |
| publishDate | 2015 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-518892017-05-03T04:09:06Z http://psasir.upm.edu.my/id/eprint/51889/ Direct 4-point 1-step block method for solving Dirichlet boundary value problem Hasni, Mohd Mughti Abdul Majid, Zanariah Senu, Norazak This paper presents 4-point 1-step block method (4LBVP) to solve the linear 2nd order boundary value problem (BVP) with Dirichlet boundary condition. 4LBVP will solve the linear 2nd order BVP with Dirichlet boundary condition directly without the need to reduce it first into the system of 1st order equations. 4LBVP will produce several numerical solutions simultaneously in one step. The formulation of the 4LBVP will be based on the Lagrange interpolating polynomial. 4LBVP will be used together with the linear shooting technique to produce the numerical solutions. Comparison with other methods will be given to show the advantages of this method. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51889/1/Direct%204-point%201-step%20block%20method%20for%20solving%20Dirichlet%20boundary%20value%20problem.pdf Hasni, Mohd Mughti and Abdul Majid, Zanariah and Senu, Norazak (2015) Direct 4-point 1-step block method for solving Dirichlet boundary value problem. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 76-80). http://ieeexplore.ieee.org/document/7357030/ 10.1109/ICREM.2015.7357030 |
| spellingShingle | Hasni, Mohd Mughti Abdul Majid, Zanariah Senu, Norazak Direct 4-point 1-step block method for solving Dirichlet boundary value problem |
| title | Direct 4-point 1-step block method for solving Dirichlet boundary value problem |
| title_full | Direct 4-point 1-step block method for solving Dirichlet boundary value problem |
| title_fullStr | Direct 4-point 1-step block method for solving Dirichlet boundary value problem |
| title_full_unstemmed | Direct 4-point 1-step block method for solving Dirichlet boundary value problem |
| title_short | Direct 4-point 1-step block method for solving Dirichlet boundary value problem |
| title_sort | direct 4-point 1-step block method for solving dirichlet boundary value problem |
| url | http://psasir.upm.edu.my/id/eprint/51889/ http://psasir.upm.edu.my/id/eprint/51889/ http://psasir.upm.edu.my/id/eprint/51889/ http://psasir.upm.edu.my/id/eprint/51889/1/Direct%204-point%201-step%20block%20method%20for%20solving%20Dirichlet%20boundary%20value%20problem.pdf |