Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs
In this work, a new pair of diagonally implicit Runge–Kutta–Nyström methods with four stages is constructed. The proposed method has been derived to solve initial value problems of special second-order ordinary-differential equations. The principal local truncation error of the new method is obtaine...
| Main Authors: | , , , |
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| Format: | Article |
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MDPI
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/100598/ |
| _version_ | 1848863365725683712 |
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| author | Ahmed Demba, Musa Senu, Norazak Ramos, Higinio Watthayu, Wiboonsak |
| author_facet | Ahmed Demba, Musa Senu, Norazak Ramos, Higinio Watthayu, Wiboonsak |
| author_sort | Ahmed Demba, Musa |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this work, a new pair of diagonally implicit Runge–Kutta–Nyström methods with four stages is constructed. The proposed method has been derived to solve initial value problems of special second-order ordinary-differential equations. The principal local truncation error of the new method is obtained, and the main characteristics of the new method are analyzed. Some numerical experiments are performed, which demonstrate the robustness and efficiency of the new embedded pair. |
| first_indexed | 2025-11-15T13:31:46Z |
| format | Article |
| id | upm-100598 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:31:46Z |
| publishDate | 2022 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1005982023-10-09T18:40:00Z http://psasir.upm.edu.my/id/eprint/100598/ Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs Ahmed Demba, Musa Senu, Norazak Ramos, Higinio Watthayu, Wiboonsak In this work, a new pair of diagonally implicit Runge–Kutta–Nyström methods with four stages is constructed. The proposed method has been derived to solve initial value problems of special second-order ordinary-differential equations. The principal local truncation error of the new method is obtained, and the main characteristics of the new method are analyzed. Some numerical experiments are performed, which demonstrate the robustness and efficiency of the new embedded pair. MDPI 2022-10-18 Article PeerReviewed Ahmed Demba, Musa and Senu, Norazak and Ramos, Higinio and Watthayu, Wiboonsak (2022) Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs. Axioms, 11 (10). art. no. 565. pp. 1-14. ISSN 2075-1680 https://www.mdpi.com/2075-1680/11/10/565 10.3390/axioms11100565 |
| spellingShingle | Ahmed Demba, Musa Senu, Norazak Ramos, Higinio Watthayu, Wiboonsak Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs |
| title | Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs |
| title_full | Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs |
| title_fullStr | Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs |
| title_full_unstemmed | Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs |
| title_short | Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs |
| title_sort | development of an efficient diagonally implicit runge–kutta–nyström 5(4) pair for special second order ivps |
| url | http://psasir.upm.edu.my/id/eprint/100598/ http://psasir.upm.edu.my/id/eprint/100598/ http://psasir.upm.edu.my/id/eprint/100598/ |