A quantitative comparison of numerical method for solving stiff ordinary differential equations
We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computatio...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25026/ http://psasir.upm.edu.my/id/eprint/25026/1/25026.pdf |
| _version_ | 1848845197096517632 |
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| author | Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed |
| author_facet | Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed |
| author_sort | Mohd Yatim, Siti Ainor |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computation time. The numerical results obtained support the enhancement of the method proposed as compared to MATLAB's suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s. |
| first_indexed | 2025-11-15T08:42:59Z |
| format | Article |
| id | upm-25026 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:42:59Z |
| publishDate | 2011 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-250262017-08-02T07:28:14Z http://psasir.upm.edu.my/id/eprint/25026/ A quantitative comparison of numerical method for solving stiff ordinary differential equations Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computation time. The numerical results obtained support the enhancement of the method proposed as compared to MATLAB's suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s. Hindawi Publishing Corporation 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25026/1/25026.pdf Mohd Yatim, Siti Ainor and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar and Suleiman, Mohamed (2011) A quantitative comparison of numerical method for solving stiff ordinary differential equations. Mathematical Problems in Engineering, 2011. art. no. 193691. pp. 1-12. ISSN 1024-123X; ESSN: 1563-5147 https://www.hindawi.com/journals/mpe/2011/193691/abs/ 10.1155/2011/193691 |
| spellingShingle | Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title | A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title_full | A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title_fullStr | A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title_full_unstemmed | A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title_short | A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title_sort | quantitative comparison of numerical method for solving stiff ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/25026/ http://psasir.upm.edu.my/id/eprint/25026/ http://psasir.upm.edu.my/id/eprint/25026/ http://psasir.upm.edu.my/id/eprint/25026/1/25026.pdf |