Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs

A fourth-order two stage Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method (PFAFDITDRK) for the numerical integration of first-order Initial Value Problems (IVPs) which exhibits periodic solutions are constructed. The Phase-Fitted and Amplification-Fitted...

Full description

Saved in:

Bibliographic Details
Main Authors:	Norazak Senu, Nur Amirah Ahmad, Zarina Bibi Ibrahim, Mohamed Othman
Format:	Article
Language:	English
Published:	Penerbit Universiti Kebangsaan Malaysia 2021
Online Access:	http://journalarticle.ukm.my/17543/1/25.pdf http://journalarticle.ukm.my/17543/ https://www.ukm.my/jsm/malay_journals/jilid50bil6_2021/KandunganJilid50Bil6_2021.html
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Universiti Kebangsaan Malaysia
Language:	English

id	my-ukm.journal.17543
record_format	eprints
spelling	my-ukm.journal.175432021-10-26T06:28:47Z http://journalarticle.ukm.my/17543/ Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs Norazak Senu, Nur Amirah Ahmad, Zarina Bibi Ibrahim, Mohamed Othman, A fourth-order two stage Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method (PFAFDITDRK) for the numerical integration of first-order Initial Value Problems (IVPs) which exhibits periodic solutions are constructed. The Phase-Fitted and Amplification-Fitted property are discussed thoroughly in this paper. The stability of the method proposed are also given herewith. Runge-Kutta (RK) methods of the similar property are chosen in the literature for the purpose of comparison by carrying out numerical experiments to justify the accuracy and the effectiveness of the derived method. Penerbit Universiti Kebangsaan Malaysia 2021-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/17543/1/25.pdf Norazak Senu, and Nur Amirah Ahmad, and Zarina Bibi Ibrahim, and Mohamed Othman, (2021) Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs. Sains Malaysiana, 50 (6). pp. 1799-1814. ISSN 0126-6039 https://www.ukm.my/jsm/malay_journals/jilid50bil6_2021/KandunganJilid50Bil6_2021.html
institution	Universiti Kebangsaan Malaysia
building	Tun Sri Lanang Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Kebangsaan Malaysia
content_source	UKM Journal Article Repository
url_provider	http://journalarticle.ukm.my/
language	English
description	A fourth-order two stage Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method (PFAFDITDRK) for the numerical integration of first-order Initial Value Problems (IVPs) which exhibits periodic solutions are constructed. The Phase-Fitted and Amplification-Fitted property are discussed thoroughly in this paper. The stability of the method proposed are also given herewith. Runge-Kutta (RK) methods of the similar property are chosen in the literature for the purpose of comparison by carrying out numerical experiments to justify the accuracy and the effectiveness of the derived method.
format	Article
author	Norazak Senu, Nur Amirah Ahmad, Zarina Bibi Ibrahim, Mohamed Othman,
spellingShingle	Norazak Senu, Nur Amirah Ahmad, Zarina Bibi Ibrahim, Mohamed Othman, Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs
author_facet	Norazak Senu, Nur Amirah Ahmad, Zarina Bibi Ibrahim, Mohamed Othman,
author_sort	Norazak Senu,
title	Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs
title_short	Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs
title_full	Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs
title_fullStr	Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs
title_full_unstemmed	Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs
title_sort	numerical study on phase-fitted and amplification-fitted diagonally implicit two derivative runge-kutta method for periodic ivps
publisher	Penerbit Universiti Kebangsaan Malaysia
publishDate	2021
url	http://journalarticle.ukm.my/17543/1/25.pdf http://journalarticle.ukm.my/17543/ https://www.ukm.my/jsm/malay_journals/jilid50bil6_2021/KandunganJilid50Bil6_2021.html
_version_	1715190957223182336

Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs

Similar Items