A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems
In this work, a new way for constructing an efficiently modified Runge-Kutta (RK) method to solve first-order ordinary differential equations with oscillatory solutions is provided. The proposed method solves the first-order ODEs by first converting the second order ODEs to an equivalent first-order...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hikari
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/54872/ http://psasir.upm.edu.my/id/eprint/54872/1/A%20New%20Embedded%20Phase-Fitted%20Modified.pdf |
| _version_ | 1848852653196443648 |
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| author | Fawzi, F. A. Senu, N. Ismail, F. Majid, Z. A. |
| author_facet | Fawzi, F. A. Senu, N. Ismail, F. Majid, Z. A. |
| author_sort | Fawzi, F. A. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this work, a new way for constructing an efficiently modified Runge-Kutta (RK) method to solve first-order ordinary differential equations with oscillatory solutions is provided. The proposed method solves the first-order ODEs by first converting the second order ODEs to an equivalent first-order ODEs. The method of the embedded has algebraic orders five and four. The numerical results of the new method have been compared with those of existing methods and showed that the new method is more efficient. |
| first_indexed | 2025-11-15T10:41:30Z |
| format | Article |
| id | upm-54872 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:41:30Z |
| publishDate | 2016 |
| publisher | Hikari |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-548722018-05-28T07:28:46Z http://psasir.upm.edu.my/id/eprint/54872/ A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems Fawzi, F. A. Senu, N. Ismail, F. Majid, Z. A. In this work, a new way for constructing an efficiently modified Runge-Kutta (RK) method to solve first-order ordinary differential equations with oscillatory solutions is provided. The proposed method solves the first-order ODEs by first converting the second order ODEs to an equivalent first-order ODEs. The method of the embedded has algebraic orders five and four. The numerical results of the new method have been compared with those of existing methods and showed that the new method is more efficient. Hikari 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/54872/1/A%20New%20Embedded%20Phase-Fitted%20Modified.pdf Fawzi, F. A. and Senu, N. and Ismail, F. and Majid, Z. A. (2016) A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems. Applied Mathematical Sciences, 10 (44). pp. 2157-2178. ISSN 1312-885X; ESSN: 1314-7552 10.12988/ams.2016.64146 |
| spellingShingle | Fawzi, F. A. Senu, N. Ismail, F. Majid, Z. A. A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems |
| title | A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems |
| title_full | A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems |
| title_fullStr | A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems |
| title_full_unstemmed | A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems |
| title_short | A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems |
| title_sort | new embedded phase-fitted modified runge-kutta method for the numerical solution of oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/54872/ http://psasir.upm.edu.my/id/eprint/54872/ http://psasir.upm.edu.my/id/eprint/54872/1/A%20New%20Embedded%20Phase-Fitted%20Modified.pdf |