Stability of block backward differentiation formulas method
In this paper, a technique for finding A(α) - stability interval for the Block Backward Differentiation Formulas (BBDFs) are presented. The stability region is obtained for a single equation and stable step size restriction is indicated for the BBDF of order four, (BBDF(4)), and BBDF of order five,...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57545/1/Stability%20of%20block%20backward%20differentiation%20formulas%20method.pdf |
| _version_ | 1796976715149344768 |
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| author | Mohd Nasir, Nor Ain Azeany Ibrahim, Zarina Bibi Suleiman, Mohamed Othman, Khairil Iskandar |
| author_facet | Mohd Nasir, Nor Ain Azeany Ibrahim, Zarina Bibi Suleiman, Mohamed Othman, Khairil Iskandar |
| author_sort | Mohd Nasir, Nor Ain Azeany |
| collection | UPM |
| description | In this paper, a technique for finding A(α) - stability interval for the Block Backward Differentiation Formulas (BBDFs) are presented. The stability region is obtained for a single equation and stable step size restriction is indicated for the BBDF of order four, (BBDF(4)), and BBDF of order five, (BBDF(5)). Numerical examples are given to illustrate the stability interval in choosing a suitable step size in the implementation of the method. |
| first_indexed | 2024-03-06T09:29:43Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57545 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:43Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | upm.eprints-575452017-10-24T04:04:59Z http://psasir.upm.edu.my/id/eprint/57545/ Stability of block backward differentiation formulas method Mohd Nasir, Nor Ain Azeany Ibrahim, Zarina Bibi Suleiman, Mohamed Othman, Khairil Iskandar In this paper, a technique for finding A(α) - stability interval for the Block Backward Differentiation Formulas (BBDFs) are presented. The stability region is obtained for a single equation and stable step size restriction is indicated for the BBDF of order four, (BBDF(4)), and BBDF of order five, (BBDF(5)). Numerical examples are given to illustrate the stability interval in choosing a suitable step size in the implementation of the method. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57545/1/Stability%20of%20block%20backward%20differentiation%20formulas%20method.pdf Mohd Nasir, Nor Ain Azeany and Ibrahim, Zarina Bibi and Suleiman, Mohamed and Othman, Khairil Iskandar (2014) Stability of block backward differentiation formulas method. In: 22nd National Symposium on Mathematical Sciences (SKSM22), 24-26 Nov. 2014, Grand Bluewave Hotel, Selangor. (pp. 1-6). 10.1063/1.4932419 |
| spellingShingle | Mohd Nasir, Nor Ain Azeany Ibrahim, Zarina Bibi Suleiman, Mohamed Othman, Khairil Iskandar Stability of block backward differentiation formulas method |
| title | Stability of block backward differentiation formulas method |
| title_full | Stability of block backward differentiation formulas method |
| title_fullStr | Stability of block backward differentiation formulas method |
| title_full_unstemmed | Stability of block backward differentiation formulas method |
| title_short | Stability of block backward differentiation formulas method |
| title_sort | stability of block backward differentiation formulas method |
| url | http://psasir.upm.edu.my/id/eprint/57545/1/Stability%20of%20block%20backward%20differentiation%20formulas%20method.pdf |
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