Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations
A modified block Runge-Kutta (MBRK) methods for solving first order stiff ordinary differential equations (ODEs) are developed. Three sets of weight are chosen and implemented to the proposed methods. Stability regions of the MBRK methods are analyzed. Performances of the MBRK methods in terms of ac...
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| Format: | Article |
| Language: | English |
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Research India Publications
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52325/1/Modified%20block%20Runge-Kutta%20methods%20with%20various%20weights%20for%20solving%20stiff%20ordinary%20differential%20equations.pdf |
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| author | Jana Aksah, Saufianim Ibrahim, Zarina Bibi |
| author_facet | Jana Aksah, Saufianim Ibrahim, Zarina Bibi |
| author_sort | Jana Aksah, Saufianim |
| collection | UPM |
| description | A modified block Runge-Kutta (MBRK) methods for solving first order stiff ordinary differential equations (ODEs) are developed. Three sets of weight are chosen and implemented to the proposed methods. Stability regions of the MBRK methods are analyzed. Performances of the MBRK methods in terms of accuracy and computational time are compared with the classical third order Runge-Kutta (RK3) method and modified weighted RK3 method based on Centroidal mean (MWRK3CeM). The numerical results show that the proposed methods outperformed the comparing methods. Comparisons between the sets of weight used are also examined. |
| first_indexed | 2024-03-06T09:15:35Z |
| format | Article |
| id | upm.eprints-52325 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:15:35Z |
| publishDate | 2016 |
| publisher | Research India Publications |
| record_format | dspace |
| spelling | upm.eprints-523252017-06-05T09:15:39Z http://psasir.upm.edu.my/id/eprint/52325/ Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations Jana Aksah, Saufianim Ibrahim, Zarina Bibi A modified block Runge-Kutta (MBRK) methods for solving first order stiff ordinary differential equations (ODEs) are developed. Three sets of weight are chosen and implemented to the proposed methods. Stability regions of the MBRK methods are analyzed. Performances of the MBRK methods in terms of accuracy and computational time are compared with the classical third order Runge-Kutta (RK3) method and modified weighted RK3 method based on Centroidal mean (MWRK3CeM). The numerical results show that the proposed methods outperformed the comparing methods. Comparisons between the sets of weight used are also examined. Research India Publications 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52325/1/Modified%20block%20Runge-Kutta%20methods%20with%20various%20weights%20for%20solving%20stiff%20ordinary%20differential%20equations.pdf Jana Aksah, Saufianim and Ibrahim, Zarina Bibi (2016) Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations. Global Journal of Pure and Applied Mathematics, 12 (6). pp. 5283-5302. ISSN 0973-1768; ESSN: 0973-9750 https://www.ripublication.com/Volume/gjpamv12n6.htm |
| spellingShingle | Jana Aksah, Saufianim Ibrahim, Zarina Bibi Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations |
| title | Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations |
| title_full | Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations |
| title_fullStr | Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations |
| title_full_unstemmed | Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations |
| title_short | Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations |
| title_sort | modified block runge kutta methods with various weights for solving stiff ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/52325/1/Modified%20block%20Runge-Kutta%20methods%20with%20various%20weights%20for%20solving%20stiff%20ordinary%20differential%20equations.pdf |
| work_keys_str_mv | AT janaaksahsaufianim modifiedblockrungekuttamethodswithvariousweightsforsolvingstiffordinarydifferentialequations AT ibrahimzarinabibi modifiedblockrungekuttamethodswithvariousweightsforsolvingstiffordinarydifferentialequations |