Weighted block Runge-Kutta method for solving stiff ODEs
In this paper, weighted block Runge-Kutta (WBRK) method is derived for solving stiff ordinary differential equations (ODEs). Implementation of weights on the method and its stability region are shown. Numerical results of the WBRK method are presented and compared with the existing methods to prove...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/46893/ http://psasir.upm.edu.my/id/eprint/46893/1/Zarina%20Bibi%20Ibrahim-345-360.pdf |
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| author | Aksah, Saufianim Jana Ibrahim, Zarina Bibi Rahim, Yong Faezah Ibrahim, Siti Nur Iqmal |
| author_facet | Aksah, Saufianim Jana Ibrahim, Zarina Bibi Rahim, Yong Faezah Ibrahim, Siti Nur Iqmal |
| author_sort | Aksah, Saufianim Jana |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, weighted block Runge-Kutta (WBRK) method is derived for solving stiff ordinary differential equations (ODEs). Implementation of weights on the method and its stability region are shown. Numerical results of the WBRK method are presented and compared with the existing methods to prove the ability of the proposed method to solve stiff ODEs. The results show that the WBRK method has better accuracy than the comparing methods. |
| first_indexed | 2025-11-15T10:11:22Z |
| format | Article |
| id | upm-46893 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:11:22Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-468932022-05-25T03:49:27Z http://psasir.upm.edu.my/id/eprint/46893/ Weighted block Runge-Kutta method for solving stiff ODEs Aksah, Saufianim Jana Ibrahim, Zarina Bibi Rahim, Yong Faezah Ibrahim, Siti Nur Iqmal In this paper, weighted block Runge-Kutta (WBRK) method is derived for solving stiff ordinary differential equations (ODEs). Implementation of weights on the method and its stability region are shown. Numerical results of the WBRK method are presented and compared with the existing methods to prove the ability of the proposed method to solve stiff ODEs. The results show that the WBRK method has better accuracy than the comparing methods. Institute for Mathematical Research, Universiti Putra Malaysia 2016-09 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/46893/1/Zarina%20Bibi%20Ibrahim-345-360.pdf Aksah, Saufianim Jana and Ibrahim, Zarina Bibi and Rahim, Yong Faezah and Ibrahim, Siti Nur Iqmal (2016) Weighted block Runge-Kutta method for solving stiff ODEs. Malaysian Journal of Mathematical Sciences, 10 (3). pp. 345-360. ISSN 1823-8343 https://mjms.upm.edu.my/senaraimakalah.php?yr=2016&bln=September&vol=10&no=3 |
| spellingShingle | Aksah, Saufianim Jana Ibrahim, Zarina Bibi Rahim, Yong Faezah Ibrahim, Siti Nur Iqmal Weighted block Runge-Kutta method for solving stiff ODEs |
| title | Weighted block Runge-Kutta method for solving stiff ODEs |
| title_full | Weighted block Runge-Kutta method for solving stiff ODEs |
| title_fullStr | Weighted block Runge-Kutta method for solving stiff ODEs |
| title_full_unstemmed | Weighted block Runge-Kutta method for solving stiff ODEs |
| title_short | Weighted block Runge-Kutta method for solving stiff ODEs |
| title_sort | weighted block runge-kutta method for solving stiff odes |
| url | http://psasir.upm.edu.my/id/eprint/46893/ http://psasir.upm.edu.my/id/eprint/46893/ http://psasir.upm.edu.my/id/eprint/46893/1/Zarina%20Bibi%20Ibrahim-345-360.pdf |