Adaptive order of block backward differentiation formulas for stiff ODEs
In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computati...
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| Format: | Article |
| Language: | English |
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American Institute of Mathematical Sciences
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/60772/ http://psasir.upm.edu.my/id/eprint/60772/1/Adaptive%20order%20of%20block%20backward%20differentiation%20formulas%20for%20stiff%20ODEs.pdf |
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| author | Ibrahim, Zarina Bibi Mohd Nasir, N. A. A. Othman, Khairil Iskandar Zainuddin, Nooraini |
| author_facet | Ibrahim, Zarina Bibi Mohd Nasir, N. A. A. Othman, Khairil Iskandar Zainuddin, Nooraini |
| author_sort | Ibrahim, Zarina Bibi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computation time in the computation of solutions. Numerical results are presented to demonstrate the advantage of implementing adaptive order selection in a single code. |
| first_indexed | 2025-11-15T11:07:13Z |
| format | Article |
| id | upm-60772 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:07:13Z |
| publishDate | 2017 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-607722019-03-28T03:26:43Z http://psasir.upm.edu.my/id/eprint/60772/ Adaptive order of block backward differentiation formulas for stiff ODEs Ibrahim, Zarina Bibi Mohd Nasir, N. A. A. Othman, Khairil Iskandar Zainuddin, Nooraini In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computation time in the computation of solutions. Numerical results are presented to demonstrate the advantage of implementing adaptive order selection in a single code. American Institute of Mathematical Sciences 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/60772/1/Adaptive%20order%20of%20block%20backward%20differentiation%20formulas%20for%20stiff%20ODEs.pdf Ibrahim, Zarina Bibi and Mohd Nasir, N. A. A. and Othman, Khairil Iskandar and Zainuddin, Nooraini (2017) Adaptive order of block backward differentiation formulas for stiff ODEs. Numerical Algebra, Control and Optimization, 7 (1). 95 - 106. ISSN 2155-3289; ESSN: 2155-3297 https://uitm.pure.elsevier.com/en/publications/adaptive-order-of-block-backward-differentiation-formulas-for-sti 10.3934/naco.2017006 |
| spellingShingle | Ibrahim, Zarina Bibi Mohd Nasir, N. A. A. Othman, Khairil Iskandar Zainuddin, Nooraini Adaptive order of block backward differentiation formulas for stiff ODEs |
| title | Adaptive order of block backward differentiation formulas for stiff ODEs |
| title_full | Adaptive order of block backward differentiation formulas for stiff ODEs |
| title_fullStr | Adaptive order of block backward differentiation formulas for stiff ODEs |
| title_full_unstemmed | Adaptive order of block backward differentiation formulas for stiff ODEs |
| title_short | Adaptive order of block backward differentiation formulas for stiff ODEs |
| title_sort | adaptive order of block backward differentiation formulas for stiff odes |
| url | http://psasir.upm.edu.my/id/eprint/60772/ http://psasir.upm.edu.my/id/eprint/60772/ http://psasir.upm.edu.my/id/eprint/60772/ http://psasir.upm.edu.my/id/eprint/60772/1/Adaptive%20order%20of%20block%20backward%20differentiation%20formulas%20for%20stiff%20ODEs.pdf |