Weighted block Runge-Kutta method for solving stiff ordinary differential equations
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...
| Main Authors: | , , , |
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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/52323/1/8.%20Saufianim.pdf |
| _version_ | 1796975727148531712 |
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| author | Jana Aksah, Saufianim Ibrahim, Zarina Bibi Rahim, Yong Faezah Ibrahim, Siti Nur Iqmal |
| author_facet | Jana Aksah, Saufianim Ibrahim, Zarina Bibi Rahim, Yong Faezah Ibrahim, Siti Nur Iqmal |
| author_sort | Jana Aksah, Saufianim |
| collection | UPM |
| 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 | 2024-03-06T09:15:35Z |
| format | Article |
| id | upm.eprints-52323 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:15:35Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-523232017-06-05T09:15:47Z http://psasir.upm.edu.my/id/eprint/52323/ Weighted block Runge-Kutta method for solving stiff ordinary differential equations Jana Aksah, Saufianim 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 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52323/1/8.%20Saufianim.pdf Jana Aksah, Saufianim and Ibrahim, Zarina Bibi and Rahim, Yong Faezah and Ibrahim, Siti Nur Iqmal (2016) Weighted block Runge-Kutta method for solving stiff ordinary differential equations. Malaysian Journal of Mathematical Sciences, 10 (3). pp. 345-360. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10no3/8.%20Saufianim.pdf |
| spellingShingle | Jana Aksah, Saufianim Ibrahim, Zarina Bibi Rahim, Yong Faezah Ibrahim, Siti Nur Iqmal Weighted block Runge-Kutta method for solving stiff ordinary differential equations |
| title | Weighted block Runge-Kutta method for solving stiff ordinary differential equations |
| title_full | Weighted block Runge-Kutta method for solving stiff ordinary differential equations |
| title_fullStr | Weighted block Runge-Kutta method for solving stiff ordinary differential equations |
| title_full_unstemmed | Weighted block Runge-Kutta method for solving stiff ordinary differential equations |
| title_short | Weighted block Runge-Kutta method for solving stiff ordinary differential equations |
| title_sort | weighted block runge kutta method for solving stiff ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/52323/1/8.%20Saufianim.pdf |
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