Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems
In this study, we construct a new Phase-fitted and Amplication-fitted Diagonally Implicit Runge-Kutta method (PFAFDIRK) for the numerical integration of first order Initial Value Problems (IVPs) which possesses oscillatory solutions. The phase-fitted and amplification-fitted method is based on exist...
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| Format: | Article |
| Language: | English |
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International Knowledge Press
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/56232/ http://psasir.upm.edu.my/id/eprint/56232/1/Phase-fitted%20and%20amplification-fitted%20diagonally%20implicit%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20problems.pdf |
| _version_ | 1848853024798146560 |
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| author | Ahmad, Nur Amirah Senu, Norazak Ismail, Fudziah |
| author_facet | Ahmad, Nur Amirah Senu, Norazak Ismail, Fudziah |
| author_sort | Ahmad, Nur Amirah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this study, we construct a new Phase-fitted and Amplication-fitted Diagonally Implicit Runge-Kutta method (PFAFDIRK) for the numerical integration of first order Initial Value Problems (IVPs) which possesses oscillatory solutions. The phase-fitted and amplification-fitted method is based on existing Diagonally Implicit Runge-Kutta method (DIRK) of order four. The numerical results show that the proposed method is more efficient than the existing DIRK methods. |
| first_indexed | 2025-11-15T10:47:24Z |
| format | Article |
| id | upm-56232 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:47:24Z |
| publishDate | 2016 |
| publisher | International Knowledge Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-562322017-07-04T02:48:13Z http://psasir.upm.edu.my/id/eprint/56232/ Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems Ahmad, Nur Amirah Senu, Norazak Ismail, Fudziah In this study, we construct a new Phase-fitted and Amplication-fitted Diagonally Implicit Runge-Kutta method (PFAFDIRK) for the numerical integration of first order Initial Value Problems (IVPs) which possesses oscillatory solutions. The phase-fitted and amplification-fitted method is based on existing Diagonally Implicit Runge-Kutta method (DIRK) of order four. The numerical results show that the proposed method is more efficient than the existing DIRK methods. International Knowledge Press 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56232/1/Phase-fitted%20and%20amplification-fitted%20diagonally%20implicit%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20problems.pdf Ahmad, Nur Amirah and Senu, Norazak and Ismail, Fudziah (2016) Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems. Asian Journal of Mathematics and Computer Research, 12 (4). pp. 252-264. ISSN 2395-4205; ESSN: 2395-4213 http://www.ikpress.org/abstract/5623 |
| spellingShingle | Ahmad, Nur Amirah Senu, Norazak Ismail, Fudziah Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems |
| title | Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems |
| title_full | Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems |
| title_fullStr | Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems |
| title_full_unstemmed | Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems |
| title_short | Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems |
| title_sort | phase-fitted and amplification-fitted diagonally implicit runge-kutta method for the numerical solution of periodic problems |
| url | http://psasir.upm.edu.my/id/eprint/56232/ http://psasir.upm.edu.my/id/eprint/56232/ http://psasir.upm.edu.my/id/eprint/56232/1/Phase-fitted%20and%20amplification-fitted%20diagonally%20implicit%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20problems.pdf |