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: | , , , |
|---|---|
| Format: | Article |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2021
|
| _version_ | 1825937455794094080 |
|---|---|
| author | Senu, Norazak Ahmad, Nur Amirah Ibrahim, Zarina Bibi Othman, Mohamed |
| author_facet | Senu, Norazak Ahmad, Nur Amirah Ibrahim, Zarina Bibi Othman, Mohamed |
| author_sort | Senu, Norazak |
| collection | UPM |
| 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 | 2024-03-06T10:59:46Z |
| format | Article |
| id | upm.eprints-94396 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-03-06T10:59:46Z |
| publishDate | 2021 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | 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 |
| 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 |
| 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 |
| work_keys_str_mv | AT senunorazak numericalstudyonphasefittedandamplificationfitteddiagonallyimplicittwoderivativerungekuttamethodforperiodicivps AT ahmadnuramirah numericalstudyonphasefittedandamplificationfitteddiagonallyimplicittwoderivativerungekuttamethodforperiodicivps AT ibrahimzarinabibi numericalstudyonphasefittedandamplificationfitteddiagonallyimplicittwoderivativerungekuttamethodforperiodicivps AT othmanmohamed numericalstudyonphasefittedandamplificationfitteddiagonallyimplicittwoderivativerungekuttamethodforperiodicivps |