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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2021
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| Online Access: | http://journalarticle.ukm.my/17543/ http://journalarticle.ukm.my/17543/1/25.pdf |
| _version_ | 1848814339788636160 |
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| author | Norazak Senu, Nur Amirah Ahmad, Zarina Bibi Ibrahim, Mohamed Othman, |
| author_facet | Norazak Senu, Nur Amirah Ahmad, Zarina Bibi Ibrahim, Mohamed Othman, |
| author_sort | Norazak Senu, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T00:32:31Z |
| format | Article |
| id | oai:generic.eprints.org:17543 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:32:31Z |
| publishDate | 2021 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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 |
| 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 |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/17543/ http://journalarticle.ukm.my/17543/ http://journalarticle.ukm.my/17543/1/25.pdf |