Convergence properties of pth order diagonally implicit block backward differentiation formulas
This paper investigates the convergence properties for diagonally implicit 2-point block backward differentiation formulas of order two, three and four. The formulation of the method is reviewed from the literature. The order of the method is verified. The concepts of consistency and zero stability...
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| Format: | Article |
| Language: | English |
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Faculty of Science, Chiang Mai University
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/72125/ http://psasir.upm.edu.my/id/eprint/72125/1/Convergence%20properties%20of%20pth%20order%20diagonally%20implicit%20block%20backward%20differentiation%20formulas.pdf |
| _version_ | 1848857044673626112 |
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| author | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi |
| author_facet | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi |
| author_sort | Mohd Zawawi, Iskandar Shah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper investigates the convergence properties for diagonally implicit 2-point block backward differentiation formulas of order two, three and four. The formulation of the method is reviewed from the literature. The order of the method is verified. The concepts of consistency and zero stability are considered to prove the convergence of the method. |
| first_indexed | 2025-11-15T11:51:18Z |
| format | Article |
| id | upm-72125 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:51:18Z |
| publishDate | 2018 |
| publisher | Faculty of Science, Chiang Mai University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-721252020-03-03T00:30:40Z http://psasir.upm.edu.my/id/eprint/72125/ Convergence properties of pth order diagonally implicit block backward differentiation formulas Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi This paper investigates the convergence properties for diagonally implicit 2-point block backward differentiation formulas of order two, three and four. The formulation of the method is reviewed from the literature. The order of the method is verified. The concepts of consistency and zero stability are considered to prove the convergence of the method. Faculty of Science, Chiang Mai University 2018-01 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/72125/1/Convergence%20properties%20of%20pth%20order%20diagonally%20implicit%20block%20backward%20differentiation%20formulas.pdf Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi (2018) Convergence properties of pth order diagonally implicit block backward differentiation formulas. Chiang Mai Journal of Science, 45 (1). 601 - 606. ISSN 0125-2526; ESSN: 2465-3845 http://epg.science.cmu.ac.th/ejournal/journalDetail.php?journal_id=8776 |
| spellingShingle | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Convergence properties of pth order diagonally implicit block backward differentiation formulas |
| title | Convergence properties of pth order diagonally implicit block backward differentiation formulas |
| title_full | Convergence properties of pth order diagonally implicit block backward differentiation formulas |
| title_fullStr | Convergence properties of pth order diagonally implicit block backward differentiation formulas |
| title_full_unstemmed | Convergence properties of pth order diagonally implicit block backward differentiation formulas |
| title_short | Convergence properties of pth order diagonally implicit block backward differentiation formulas |
| title_sort | convergence properties of pth order diagonally implicit block backward differentiation formulas |
| url | http://psasir.upm.edu.my/id/eprint/72125/ http://psasir.upm.edu.my/id/eprint/72125/ http://psasir.upm.edu.my/id/eprint/72125/1/Convergence%20properties%20of%20pth%20order%20diagonally%20implicit%20block%20backward%20differentiation%20formulas.pdf |