Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems
A new 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 a fourth order three stages TDRK method designed using the FSAL property. The stability of the new method is anal...
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| Format: | Article |
| Language: | English |
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Indian Society for Education and Environment
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51862/ http://psasir.upm.edu.my/id/eprint/51862/1/Two%20derivative%20Runge-Kutta%20method%20with%20FSAL%20property%20for%20the%20solution%20of%20first%20order%20initial%20value%20problems.pdf |
| _version_ | 1848851948500942848 |
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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 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 a fourth order three stages TDRK method designed using the FSAL property. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of our methods in comparison with other existing Runge-Kutta methods (RK). |
| first_indexed | 2025-11-15T10:30:18Z |
| format | Article |
| id | upm-51862 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:18Z |
| publishDate | 2016 |
| publisher | Indian Society for Education and Environment |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-518622017-05-02T08:05:57Z http://psasir.upm.edu.my/id/eprint/51862/ Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems Ahmad, Nur Amirah Senu, Norazak A new 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 a fourth order three stages TDRK method designed using the FSAL property. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of our methods in comparison with other existing Runge-Kutta methods (RK). Indian Society for Education and Environment 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51862/1/Two%20derivative%20Runge-Kutta%20method%20with%20FSAL%20property%20for%20the%20solution%20of%20first%20order%20initial%20value%20problems.pdf Ahmad, Nur Amirah and Senu, Norazak (2016) Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems. Indian Journal of Science and Technology, 9 (28). pp. 1-8. ISSN 0974-6846; ESSN: 0974-5645 http://www.indjst.org/index.php/indjst/article/view/97748 |
| spellingShingle | Ahmad, Nur Amirah Senu, Norazak Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems |
| title | Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems |
| title_full | Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems |
| title_fullStr | Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems |
| title_full_unstemmed | Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems |
| title_short | Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems |
| title_sort | two derivative runge-kutta method with fsal property for the solution of first order initial value problems |
| url | http://psasir.upm.edu.my/id/eprint/51862/ http://psasir.upm.edu.my/id/eprint/51862/ http://psasir.upm.edu.my/id/eprint/51862/1/Two%20derivative%20Runge-Kutta%20method%20with%20FSAL%20property%20for%20the%20solution%20of%20first%20order%20initial%20value%20problems.pdf |