A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs
This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method for solving first-order differential equations with periodic solutions. The newly developed method was made according to the method of Runge-Kutta Dorm and to fourth algebraic order. Numerical results...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Indian Society for Education and Environment
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/51861/ http://psasir.upm.edu.my/id/eprint/51861/1/A%20fourth%20algebraic%20order%20explicit%20trigonometrically-%20fitted%20modified%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20IVPs.pdf |
| _version_ | 1848851948255576064 |
|---|---|
| author | Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah |
| author_facet | Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah |
| author_sort | Alshareeda, Firas Adel Fawzi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method for solving first-order differential equations with periodic solutions. The newly developed method was made according to the method of Runge-Kutta Dorm and to fourth algebraic order. Numerical results for the new method were compared with the existing method, showing the potential of the new method over other existing methods. |
| first_indexed | 2025-11-15T10:30:17Z |
| format | Article |
| id | upm-51861 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:17Z |
| publishDate | 2016 |
| publisher | Indian Society for Education and Environment |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-518612017-05-02T08:05:55Z http://psasir.upm.edu.my/id/eprint/51861/ A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method for solving first-order differential equations with periodic solutions. The newly developed method was made according to the method of Runge-Kutta Dorm and to fourth algebraic order. Numerical results for the new method were compared with the existing method, showing the potential of the new method over other existing methods. Indian Society for Education and Environment 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51861/1/A%20fourth%20algebraic%20order%20explicit%20trigonometrically-%20fitted%20modified%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20IVPs.pdf Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah (2016) A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs. Indian Journal of Science and Technology, 9 (48). pp. 1-7. ISSN 0974-6846; ESSN: 0974-5645 http://www.indjst.org/index.php/indjst/article/view/97774 |
| spellingShingle | Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs |
| title | A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs |
| title_full | A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs |
| title_fullStr | A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs |
| title_full_unstemmed | A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs |
| title_short | A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs |
| title_sort | fourth algebraic order explicit trigonometrically- fitted modified runge-kutta method for the numerical solution of periodic ivps |
| url | http://psasir.upm.edu.my/id/eprint/51861/ http://psasir.upm.edu.my/id/eprint/51861/ http://psasir.upm.edu.my/id/eprint/51861/1/A%20fourth%20algebraic%20order%20explicit%20trigonometrically-%20fitted%20modified%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20IVPs.pdf |