Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs
In this paper we derived a new diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ordinary differential equation. The stability polynomial of the method is obtained and the stability region is presented. A set of problems are tested upon and nu...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57430/ http://psasir.upm.edu.my/id/eprint/57430/1/Diagonally%20implicit%20Runge-Kutta%20method%20of%20order%20four%20with%20minimum%20phase-lag%20for%20solving%20first%20order%20linear%20ODEs.pdf |
| _version_ | 1848853363926499328 |
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| author | Ismail, Fudziah Salih, Mohammed M. |
| author_facet | Ismail, Fudziah Salih, Mohammed M. |
| author_sort | Ismail, Fudziah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper we derived a new diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ordinary differential equation. The stability polynomial of the method is obtained and the stability region is presented. A set of problems are tested upon and numerical results proved that the method is more accurate compared to other well known methods in the scientific literature. |
| first_indexed | 2025-11-15T10:52:47Z |
| format | Conference or Workshop Item |
| id | upm-57430 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:47Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-574302017-09-27T10:32:11Z http://psasir.upm.edu.my/id/eprint/57430/ Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs Ismail, Fudziah Salih, Mohammed M. In this paper we derived a new diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ordinary differential equation. The stability polynomial of the method is obtained and the stability region is presented. A set of problems are tested upon and numerical results proved that the method is more accurate compared to other well known methods in the scientific literature. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57430/1/Diagonally%20implicit%20Runge-Kutta%20method%20of%20order%20four%20with%20minimum%20phase-lag%20for%20solving%20first%20order%20linear%20ODEs.pdf Ismail, Fudziah and Salih, Mohammed M. (2013) Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs. In: 3rd International Conference on Mathematical Sciences (ICMS3), 17-19 Dec. 2013, Kuala Lumpur, Malaysia. (pp. 1226-1231). 10.1063/1.4885049 |
| spellingShingle | Ismail, Fudziah Salih, Mohammed M. Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs |
| title | Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs |
| title_full | Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs |
| title_fullStr | Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs |
| title_full_unstemmed | Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs |
| title_short | Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs |
| title_sort | diagonally implicit runge-kutta method of order four with minimum phase-lag for solving first order linear odes |
| url | http://psasir.upm.edu.my/id/eprint/57430/ http://psasir.upm.edu.my/id/eprint/57430/ http://psasir.upm.edu.my/id/eprint/57430/1/Diagonally%20implicit%20Runge-Kutta%20method%20of%20order%20four%20with%20minimum%20phase-lag%20for%20solving%20first%20order%20linear%20ODEs.pdf |