On the stability of diagonally implicit 2-point block backward differentiation formulae
In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57182/ http://psasir.upm.edu.my/id/eprint/57182/1/On%20the%20stability%20of%20diagonally%20implicit%202-point%20block%20backward%20differentiation%20formulae.pdf |
| _version_ | 1848853293837582336 |
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| author | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed |
| author_facet | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed |
| author_sort | Mohd Zawawi, Iskandar Shah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of accuracy. Numerical results are compared with the fully implicit 2-point block backward differentiation formulas (FI2BBDF). |
| first_indexed | 2025-11-15T10:51:41Z |
| format | Conference or Workshop Item |
| id | upm-57182 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:41Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571822017-09-08T09:41:35Z http://psasir.upm.edu.my/id/eprint/57182/ On the stability of diagonally implicit 2-point block backward differentiation formulae Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of accuracy. Numerical results are compared with the fully implicit 2-point block backward differentiation formulas (FI2BBDF). AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57182/1/On%20the%20stability%20of%20diagonally%20implicit%202-point%20block%20backward%20differentiation%20formulae.pdf Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi and Suleiman, Mohamed (2013) On the stability of diagonally implicit 2-point block backward differentiation formulae. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 315-319). 10.1063/1.4823927 |
| spellingShingle | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed On the stability of diagonally implicit 2-point block backward differentiation formulae |
| title | On the stability of diagonally implicit 2-point block backward differentiation formulae |
| title_full | On the stability of diagonally implicit 2-point block backward differentiation formulae |
| title_fullStr | On the stability of diagonally implicit 2-point block backward differentiation formulae |
| title_full_unstemmed | On the stability of diagonally implicit 2-point block backward differentiation formulae |
| title_short | On the stability of diagonally implicit 2-point block backward differentiation formulae |
| title_sort | on the stability of diagonally implicit 2-point block backward differentiation formulae |
| url | http://psasir.upm.edu.my/id/eprint/57182/ http://psasir.upm.edu.my/id/eprint/57182/ http://psasir.upm.edu.my/id/eprint/57182/1/On%20the%20stability%20of%20diagonally%20implicit%202-point%20block%20backward%20differentiation%20formulae.pdf |