On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs
In this paper, we derive a second order Variable Step Variable Order Block Backward Differentiation Formulae (VSVO-BBDF (2)). This method pertains to the study of solving stiff Ordinary Differential Equations (ODEs) of second order (y"). The pertinent findings in term of total number of steps,...
| 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/57247/ http://psasir.upm.edu.my/id/eprint/57247/1/On%20the%20derivation%20of%20second%20order%20variable%20step%20variable%20order%20block%20backward%20differentiation%20formulae%20for%20solving%20stiff%20ODEs.pdf |
| _version_ | 1848853312262111232 |
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| author | Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed |
| author_facet | Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed |
| author_sort | Mohd Yatim, Siti Ainor |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we derive a second order Variable Step Variable Order Block Backward Differentiation Formulae (VSVO-BBDF (2)). This method pertains to the study of solving stiff Ordinary Differential Equations (ODEs) of second order (y"). The pertinent findings in term of total number of steps, accuracy and computational time are displayed and discussed through distinct tables. |
| first_indexed | 2025-11-15T10:51:58Z |
| format | Conference or Workshop Item |
| id | upm-57247 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:58Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-572472017-09-26T03:48:35Z http://psasir.upm.edu.my/id/eprint/57247/ On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed In this paper, we derive a second order Variable Step Variable Order Block Backward Differentiation Formulae (VSVO-BBDF (2)). This method pertains to the study of solving stiff Ordinary Differential Equations (ODEs) of second order (y"). The pertinent findings in term of total number of steps, accuracy and computational time are displayed and discussed through distinct tables. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57247/1/On%20the%20derivation%20of%20second%20order%20variable%20step%20variable%20order%20block%20backward%20differentiation%20formulae%20for%20solving%20stiff%20ODEs.pdf Mohd Yatim, Siti Ainor and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar and Suleiman, Mohamed (2013) On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 335-338). 10.1063/1.4823931 |
| spellingShingle | Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs |
| title | On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs |
| title_full | On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs |
| title_fullStr | On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs |
| title_full_unstemmed | On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs |
| title_short | On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs |
| title_sort | on the derivation of second order variable step variable order block backward differentiation formulae for solving stiff odes |
| url | http://psasir.upm.edu.my/id/eprint/57247/ http://psasir.upm.edu.my/id/eprint/57247/ http://psasir.upm.edu.my/id/eprint/57247/1/On%20the%20derivation%20of%20second%20order%20variable%20step%20variable%20order%20block%20backward%20differentiation%20formulae%20for%20solving%20stiff%20ODEs.pdf |