Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations
In this paper, a four step implicit block method for solving first order ordinary differential equations (ODEs) is proposed. The method approximates the solutions of initial value problems at four-point mesh simultaneously using variable step size. This four step implicit method is of the multistep...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/47774/1/Four%20step%20implicit%20block%20method%20of%20Runge-Kutta%20type%20for%20solving%20first%20order%20ordinary%20differential%20equations.pdf |
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| author | Mohd Radzi, Hazwani Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed |
| author_facet | Mohd Radzi, Hazwani Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed |
| author_sort | Mohd Radzi, Hazwani |
| collection | UPM |
| description | In this paper, a four step implicit block method for solving first order ordinary differential equations (ODEs) is proposed. The method approximates the solutions of initial value problems at four-point mesh simultaneously using variable step size. This four step implicit method is of the multistep type but it is implemented as the Runge-Kutta type. The stability regions of the method are also studied. Numerical results are presented to show the efficiency of the proposed block method. |
| first_indexed | 2024-03-06T09:03:05Z |
| format | Conference or Workshop Item |
| id | upm.eprints-47774 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:03:05Z |
| publishDate | 2011 |
| publisher | IEEE |
| record_format | dspace |
| spelling | upm.eprints-477742016-07-15T05:24:23Z http://psasir.upm.edu.my/id/eprint/47774/ Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations Mohd Radzi, Hazwani Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed In this paper, a four step implicit block method for solving first order ordinary differential equations (ODEs) is proposed. The method approximates the solutions of initial value problems at four-point mesh simultaneously using variable step size. This four step implicit method is of the multistep type but it is implemented as the Runge-Kutta type. The stability regions of the method are also studied. Numerical results are presented to show the efficiency of the proposed block method. IEEE 2011 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/47774/1/Four%20step%20implicit%20block%20method%20of%20Runge-Kutta%20type%20for%20solving%20first%20order%20ordinary%20differential%20equations.pdf Mohd Radzi, Hazwani and Abdul Majid, Zanariah and Ismail, Fudziah and Suleiman, Mohamed (2011) Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations. In: 4th International Conference on Modeling, Simulation and Applied Optimization (ICMSAO 2011), 19-21 Apr. 2011, Kuala Lumpur, Malaysia. . 10.1109/ICMSAO.2011.5775471 |
| spellingShingle | Mohd Radzi, Hazwani Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations |
| title | Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations |
| title_full | Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations |
| title_fullStr | Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations |
| title_full_unstemmed | Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations |
| title_short | Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations |
| title_sort | four step implicit block method of runge kutta type for solving first order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/47774/1/Four%20step%20implicit%20block%20method%20of%20Runge-Kutta%20type%20for%20solving%20first%20order%20ordinary%20differential%20equations.pdf |
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