New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions
Two-point block method with variable step-size strategy is presented to obtain the solutions for boundary value problems directly. Dirichlet type and Neumann type of boundary conditions are studied in this paper. Multiple shooting techniques adapted with the three-step iterative method are employed...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30189/ http://psasir.upm.edu.my/id/eprint/30189/1/New%20algorithm%20of%20two.pdf |
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| author | Phang, Pei See Abdul Majid, Zanariah Ismail, Fudziah Othman, Khairil Iskandar Suleiman, Mohamed |
| author_facet | Phang, Pei See Abdul Majid, Zanariah Ismail, Fudziah Othman, Khairil Iskandar Suleiman, Mohamed |
| author_sort | Phang, Pei See |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Two-point block method with variable step-size strategy is presented to obtain the solutions for boundary value problems directly. Dirichlet type and Neumann type of boundary conditions are studied in this paper. Multiple shooting techniques adapted with the three-step iterative method are employed for generating the guessing value. Six boundary value problems are solved using the proposed method, and the numerical results are compared to the existing methods. The results suggest a significant improvement in the efficiency of the proposed methods in terms of the number of steps, execution time, and accuracy. |
| first_indexed | 2025-11-15T09:05:23Z |
| format | Article |
| id | upm-30189 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:23Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-301892015-10-28T04:31:41Z http://psasir.upm.edu.my/id/eprint/30189/ New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions Phang, Pei See Abdul Majid, Zanariah Ismail, Fudziah Othman, Khairil Iskandar Suleiman, Mohamed Two-point block method with variable step-size strategy is presented to obtain the solutions for boundary value problems directly. Dirichlet type and Neumann type of boundary conditions are studied in this paper. Multiple shooting techniques adapted with the three-step iterative method are employed for generating the guessing value. Six boundary value problems are solved using the proposed method, and the numerical results are compared to the existing methods. The results suggest a significant improvement in the efficiency of the proposed methods in terms of the number of steps, execution time, and accuracy. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30189/1/New%20algorithm%20of%20two.pdf Phang, Pei See and Abdul Majid, Zanariah and Ismail, Fudziah and Othman, Khairil Iskandar and Suleiman, Mohamed (2013) New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions. Mathematical Problems in Engineering, 2013. art. no. 917589. pp. 1-10. ISSN 1024-123X http://www.hindawi.com/journals/mpe/2013/917589/ 10.1155/2013/917589 English |
| spellingShingle | Phang, Pei See Abdul Majid, Zanariah Ismail, Fudziah Othman, Khairil Iskandar Suleiman, Mohamed New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions |
| title | New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions |
| title_full | New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions |
| title_fullStr | New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions |
| title_full_unstemmed | New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions |
| title_short | New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions |
| title_sort | new algorithm of two-point block method for solving boundary value problem with dirichlet and neumann boundary conditions |
| url | http://psasir.upm.edu.my/id/eprint/30189/ http://psasir.upm.edu.my/id/eprint/30189/ http://psasir.upm.edu.my/id/eprint/30189/ http://psasir.upm.edu.my/id/eprint/30189/1/New%20algorithm%20of%20two.pdf |