Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type
In this paper, a variable step size and variable order strategy (VSVO) used in the block method is developed for solving directly the second order two-point boundary value problems (BVPs). The variable step size and variable order strategy managed to reduce the total step and assure the accuracy of...
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51884/ http://psasir.upm.edu.my/id/eprint/51884/1/Implementation%20of%20VSVO%20code%20for%20solving%20boundary%20value%20problems%20of%20Dirichlet%20and%20Neumann%20type.pdf |
| _version_ | 1848851954399182848 |
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| author | Phang, Pei See Abdul Majid, Zanariah |
| author_facet | Phang, Pei See Abdul Majid, Zanariah |
| author_sort | Phang, Pei See |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a variable step size and variable order strategy (VSVO) used in the block method is developed for solving directly the second order two-point boundary value problems (BVPs). The variable step size and variable order strategy managed to reduce the total step and assure the accuracy of the method. The proposed block method can compute the solutions at two points simultaneously and adapted with multiple shooting technique via three-step iterative method. The performance for the proposed method was tested on the single and system of second order BVPs of Dirichlet and Neumann type. Numerical results are given to show the efficiency of the proposed method when compare to the existing method in terms of total steps and execution time. |
| first_indexed | 2025-11-15T10:30:23Z |
| format | Conference or Workshop Item |
| id | upm-51884 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:23Z |
| publishDate | 2015 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-518842017-05-03T04:09:19Z http://psasir.upm.edu.my/id/eprint/51884/ Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type Phang, Pei See Abdul Majid, Zanariah In this paper, a variable step size and variable order strategy (VSVO) used in the block method is developed for solving directly the second order two-point boundary value problems (BVPs). The variable step size and variable order strategy managed to reduce the total step and assure the accuracy of the method. The proposed block method can compute the solutions at two points simultaneously and adapted with multiple shooting technique via three-step iterative method. The performance for the proposed method was tested on the single and system of second order BVPs of Dirichlet and Neumann type. Numerical results are given to show the efficiency of the proposed method when compare to the existing method in terms of total steps and execution time. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51884/1/Implementation%20of%20VSVO%20code%20for%20solving%20boundary%20value%20problems%20of%20Dirichlet%20and%20Neumann%20type.pdf Phang, Pei See and Abdul Majid, Zanariah (2015) Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 39-44). http://ieeexplore.ieee.org/document/7357023/ 10.1109/ICREM.2015.7357023 |
| spellingShingle | Phang, Pei See Abdul Majid, Zanariah Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type |
| title | Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type |
| title_full | Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type |
| title_fullStr | Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type |
| title_full_unstemmed | Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type |
| title_short | Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type |
| title_sort | implementation of vsvo code for solving boundary value problems of dirichlet and neumann type |
| url | http://psasir.upm.edu.my/id/eprint/51884/ http://psasir.upm.edu.my/id/eprint/51884/ http://psasir.upm.edu.my/id/eprint/51884/ http://psasir.upm.edu.my/id/eprint/51884/1/Implementation%20of%20VSVO%20code%20for%20solving%20boundary%20value%20problems%20of%20Dirichlet%20and%20Neumann%20type.pdf |