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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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Main Authors: Ahmad, Nur Amirah, Senu, Norazak, Ismail, Fudziah
Format: Article
Language:English
Published: International Knowledge Press 2016
Online Access: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
http://psasir.upm.edu.my/id/eprint/56232/
http://www.ikpress.org/abstract/5623
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Ahmad, Nur Amirah
Senu, Norazak
Ismail, Fudziah
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
author_facet Ahmad, Nur Amirah
Senu, Norazak
Ismail, Fudziah
author_sort Ahmad, Nur Amirah
title 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_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_sort phase-fitted and amplification-fitted diagonally implicit runge-kutta method for the numerical solution of periodic problems
publisher International Knowledge Press
publishDate 2016
url 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
http://psasir.upm.edu.my/id/eprint/56232/
http://www.ikpress.org/abstract/5623
_version_ 1643836129786462208
score 13.159267

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