New block Runge-Kutta method with various weights for solving stiff ordinary differential equations
This paper discusses the development of a new block Runge-Kutta (NBRK) method with various weights for solving stiff ordinary differential equations (ODEs). Performance of the proposed method in terms of maximum error and computational time is compared with third order RK (RK3) method and modified w...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57318/ http://psasir.upm.edu.my/id/eprint/57318/1/New%20block%20Runge-Kutta%20method%20with%20various%20weights%20for%20solving%20stiff%20ordinary%20differential%20equations.pdf |
| _version_ | 1848853331586318336 |
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| author | Jana Aksah, Saufianim Ibrahim, Zarina Bibi Rahim, Yong Faezah |
| author_facet | Jana Aksah, Saufianim Ibrahim, Zarina Bibi Rahim, Yong Faezah |
| author_sort | Jana Aksah, Saufianim |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper discusses the development of a new block Runge-Kutta (NBRK) method with various weights for solving stiff ordinary differential equations (ODEs). Performance of the proposed method in terms of maximum error and computational time is compared with third order RK (RK3) method and modified weighted RK3 method based on Centroidal Mean (MWRK3CeM). Comparison between weights used is also analyzed. Numerical results show that the proposed method outperformed the MWRK3CeM and the RK3 method. |
| first_indexed | 2025-11-15T10:52:17Z |
| format | Conference or Workshop Item |
| id | upm-57318 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:17Z |
| publishDate | 2015 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573182017-09-26T04:04:49Z http://psasir.upm.edu.my/id/eprint/57318/ New block Runge-Kutta method with various weights for solving stiff ordinary differential equations Jana Aksah, Saufianim Ibrahim, Zarina Bibi Rahim, Yong Faezah This paper discusses the development of a new block Runge-Kutta (NBRK) method with various weights for solving stiff ordinary differential equations (ODEs). Performance of the proposed method in terms of maximum error and computational time is compared with third order RK (RK3) method and modified weighted RK3 method based on Centroidal Mean (MWRK3CeM). Comparison between weights used is also analyzed. Numerical results show that the proposed method outperformed the MWRK3CeM and the RK3 method. AIP Publishing 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57318/1/New%20block%20Runge-Kutta%20method%20with%20various%20weights%20for%20solving%20stiff%20ordinary%20differential%20equations.pdf Jana Aksah, Saufianim and Ibrahim, Zarina Bibi and Rahim, Yong Faezah (2015) New block Runge-Kutta method with various weights for solving stiff ordinary differential equations. In: 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23), 24-26 Nov. 2015, Johor Bahru, Malaysia. (pp. 1-7). 10.1063/1.4954528 |
| spellingShingle | Jana Aksah, Saufianim Ibrahim, Zarina Bibi Rahim, Yong Faezah New block Runge-Kutta method with various weights for solving stiff ordinary differential equations |
| title | New block Runge-Kutta method with various weights for solving stiff ordinary differential equations |
| title_full | New block Runge-Kutta method with various weights for solving stiff ordinary differential equations |
| title_fullStr | New block Runge-Kutta method with various weights for solving stiff ordinary differential equations |
| title_full_unstemmed | New block Runge-Kutta method with various weights for solving stiff ordinary differential equations |
| title_short | New block Runge-Kutta method with various weights for solving stiff ordinary differential equations |
| title_sort | new block runge-kutta method with various weights for solving stiff ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57318/ http://psasir.upm.edu.my/id/eprint/57318/ http://psasir.upm.edu.my/id/eprint/57318/1/New%20block%20Runge-Kutta%20method%20with%20various%20weights%20for%20solving%20stiff%20ordinary%20differential%20equations.pdf |