Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations
In this paper, index-1 differential algebraic equations have been solved via a block backward differentiation formula (BDF) using variable step size. Two solution values are obtained simultaneously based on the method in the block. The strategy of controlling the step size is proposed. The method...
| Main Authors: | , , , , |
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| Format: | Article |
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Science Society of Thailand
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/35968/ |
| _version_ | 1848848202393976832 |
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| author | Abasi, Naghmeh Suleiman, Mohamed Ibrahim, Zarina Bibi Musa, Hamisu Rabiei, Faranak |
| author_facet | Abasi, Naghmeh Suleiman, Mohamed Ibrahim, Zarina Bibi Musa, Hamisu Rabiei, Faranak |
| author_sort | Abasi, Naghmeh |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, index-1 differential algebraic equations have been solved via a block backward differentiation
formula (BDF) using variable step size. Two solution values are obtained simultaneously based on the method in the block.
The strategy of controlling the step size is proposed. The method is compared with the existing variable step BDF method.
Numerical results are given to support the enhancement of the method in terms of accuracy. |
| first_indexed | 2025-11-15T09:30:45Z |
| format | Article |
| id | upm-35968 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T09:30:45Z |
| publishDate | 2014 |
| publisher | Science Society of Thailand |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-359682016-02-12T02:42:06Z http://psasir.upm.edu.my/id/eprint/35968/ Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations Abasi, Naghmeh Suleiman, Mohamed Ibrahim, Zarina Bibi Musa, Hamisu Rabiei, Faranak In this paper, index-1 differential algebraic equations have been solved via a block backward differentiation formula (BDF) using variable step size. Two solution values are obtained simultaneously based on the method in the block. The strategy of controlling the step size is proposed. The method is compared with the existing variable step BDF method. Numerical results are given to support the enhancement of the method in terms of accuracy. Science Society of Thailand 2014-10 Article PeerReviewed Abasi, Naghmeh and Suleiman, Mohamed and Ibrahim, Zarina Bibi and Musa, Hamisu and Rabiei, Faranak (2014) Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations. ScienceAsia, 40 (5). pp. 375-378. ISSN 1513-1874 http://www.scienceasia.org/content/viewabstract.php?ms=4236&v=32 10.2306/scienceasia1513-1874.2014.40.375 |
| spellingShingle | Abasi, Naghmeh Suleiman, Mohamed Ibrahim, Zarina Bibi Musa, Hamisu Rabiei, Faranak Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations |
| title | Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations |
| title_full | Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations |
| title_fullStr | Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations |
| title_full_unstemmed | Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations |
| title_short | Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations |
| title_sort | variable step 2-point block backward differentiation formula for index-1 differential algebraic equations |
| url | http://psasir.upm.edu.my/id/eprint/35968/ http://psasir.upm.edu.my/id/eprint/35968/ http://psasir.upm.edu.my/id/eprint/35968/ |