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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...

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Main Authors: Senu, Norazak, Ahmad, Nur Amirah, Ibrahim, Zarina Bibi, Othman, Mohamed
Format: Article
Published: Penerbit Universiti Kebangsaan Malaysia 2021
Online Access:http://psasir.upm.edu.my/id/eprint/94396/
http://www.ukm.my/jsm/english_journals/vol50num6_2021/vol50num6_2021pg1799-1814.html
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spelling my.upm.eprints.943962023-04-05T02:16:20Z http://psasir.upm.edu.my/id/eprint/94396/ Numerical study on phase-fitted and amplification-fitted diagonally implicit two derivative Runge-Kutta method for periodic IVPs Senu, Norazak Ahmad, Nur Amirah Ibrahim, Zarina Bibi Othman, Mohamed 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 Senu, Norazak and Ahmad, Nur Amirah and Ibrahim, Zarina Bibi and Othman, Mohamed (2021) Numerical study on phase-fitted and amplification-fitted diagonally implicit two derivative Runge-Kutta method for periodic IVPs. Sains Malaysiana, 50 (6). 1799 - 1814. ISSN 0126-6039; ESSN: 2735-0118 http://www.ukm.my/jsm/english_journals/vol50num6_2021/vol50num6_2021pg1799-1814.html 10.17576/jsm-2021-5006-25
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/
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 Senu, Norazak
Ahmad, Nur Amirah
Ibrahim, Zarina Bibi
Othman, Mohamed
spellingShingle Senu, Norazak
Ahmad, Nur Amirah
Ibrahim, Zarina Bibi
Othman, Mohamed
Numerical study on phase-fitted and amplification-fitted diagonally implicit two derivative Runge-Kutta method for periodic IVPs
author_facet Senu, Norazak
Ahmad, Nur Amirah
Ibrahim, Zarina Bibi
Othman, Mohamed
author_sort Senu, Norazak
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://psasir.upm.edu.my/id/eprint/94396/
http://www.ukm.my/jsm/english_journals/vol50num6_2021/vol50num6_2021pg1799-1814.html
_version_ 1762394214883131392
score 13.211869

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