New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems
A new embedded Two Derivative Runge-Kutta method (TDRK) based on First Same As Last (FSAL) technique for the numerical solution of first order Initial Value Problems (IVPs) is derived. We present an embedded 4(3) pair explicit fourth order TDRK method with a ‘small’ principal local truncation error...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57325/ http://psasir.upm.edu.my/id/eprint/57325/1/New%204%283%29%20pair%20two%20derivative%20Runge-Kutta%20method%20with%20FSAL%20property%20for%20solving%20first%20order%20initial%20value%20problems.pdf |
| _version_ | 1848853333569175552 |
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| author | Ahmad, Nur Amirah Senu, Norazak |
| author_facet | Ahmad, Nur Amirah Senu, Norazak |
| author_sort | Ahmad, Nur Amirah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A new embedded Two Derivative Runge-Kutta method (TDRK) based on First Same As Last (FSAL) technique for the numerical solution of first order Initial Value Problems (IVPs) is derived. We present an embedded 4(3) pair explicit fourth order TDRK method with a ‘small’ principal local truncation error coefficient. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of our method in comparison with other existing embedded Runge-Kutta methods (RK) of the same order. |
| first_indexed | 2025-11-15T10:52:18Z |
| format | Conference or Workshop Item |
| id | upm-57325 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:18Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573252017-09-26T04:04:37Z http://psasir.upm.edu.my/id/eprint/57325/ New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems Ahmad, Nur Amirah Senu, Norazak A new embedded Two Derivative Runge-Kutta method (TDRK) based on First Same As Last (FSAL) technique for the numerical solution of first order Initial Value Problems (IVPs) is derived. We present an embedded 4(3) pair explicit fourth order TDRK method with a ‘small’ principal local truncation error coefficient. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of our method in comparison with other existing embedded Runge-Kutta methods (RK) of the same order. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57325/1/New%204%283%29%20pair%20two%20derivative%20Runge-Kutta%20method%20with%20FSAL%20property%20for%20solving%20first%20order%20initial%20value%20problems.pdf Ahmad, Nur Amirah and Senu, Norazak (2016) New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-8). 10.1063/1.4995885 |
| spellingShingle | Ahmad, Nur Amirah Senu, Norazak New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems |
| title | New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems |
| title_full | New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems |
| title_fullStr | New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems |
| title_full_unstemmed | New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems |
| title_short | New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems |
| title_sort | new 4(3) pair two derivative runge-kutta method with fsal property for solving first order initial value problems |
| url | http://psasir.upm.edu.my/id/eprint/57325/ http://psasir.upm.edu.my/id/eprint/57325/ http://psasir.upm.edu.my/id/eprint/57325/1/New%204%283%29%20pair%20two%20derivative%20Runge-Kutta%20method%20with%20FSAL%20property%20for%20solving%20first%20order%20initial%20value%20problems.pdf |