Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems
Based on First Same As Last (FSAL) technique, an embedded trigonometrically-fitted Two Derivative Runge-Kutta method (TDRK) for the numerical solution of first order Initial Value Problems (IVPs) is developed. Using the trigonometrically-fitting technique, an embedded 5(4) pair explicit fifth-order...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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World Scientific and Engineering Academy and Society (W S E A S)
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/61704/ http://psasir.upm.edu.my/id/eprint/61704/1/Embedded%205%284%29%20pair%20trigonometrically.pdf |
| _version_ | 1848854469831294976 |
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| author | Senu, Norazak Ahmad, Nur Amirah Ismail, Fudziah Bachok @ Lati, Norfifah |
| author_facet | Senu, Norazak Ahmad, Nur Amirah Ismail, Fudziah Bachok @ Lati, Norfifah |
| author_sort | Senu, Norazak |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Based on First Same As Last (FSAL) technique, an embedded trigonometrically-fitted Two Derivative Runge-Kutta method (TDRK) for the numerical solution of first order Initial Value Problems (IVPs) is developed. Using the trigonometrically-fitting technique, an embedded 5(4) pair explicit fifth-order TDRK method with a “small” principal local truncation error coefficient is derived. The numerical experiments are carried out and showed that our new method is more accurate and efficient when compared with other existing Runge-Kutta (RK) and TDRK methods of the same order. |
| first_indexed | 2025-11-15T11:10:22Z |
| format | Article |
| id | upm-61704 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:10:22Z |
| publishDate | 2017 |
| publisher | World Scientific and Engineering Academy and Society (W S E A S) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-617042019-01-08T01:52:27Z http://psasir.upm.edu.my/id/eprint/61704/ Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems Senu, Norazak Ahmad, Nur Amirah Ismail, Fudziah Bachok @ Lati, Norfifah Based on First Same As Last (FSAL) technique, an embedded trigonometrically-fitted Two Derivative Runge-Kutta method (TDRK) for the numerical solution of first order Initial Value Problems (IVPs) is developed. Using the trigonometrically-fitting technique, an embedded 5(4) pair explicit fifth-order TDRK method with a “small” principal local truncation error coefficient is derived. The numerical experiments are carried out and showed that our new method is more accurate and efficient when compared with other existing Runge-Kutta (RK) and TDRK methods of the same order. World Scientific and Engineering Academy and Society (W S E A S) 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/61704/1/Embedded%205%284%29%20pair%20trigonometrically.pdf Senu, Norazak and Ahmad, Nur Amirah and Ismail, Fudziah and Bachok @ Lati, Norfifah (2017) Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems. WSEAS Transactions on Computer Research, 5. 27 - 34. ISSN 1991-8755 https://www.semanticscholar.org/paper/Embedded-5-(-4-)-Pair-Trigonometrically-Fitted-Two-Senu-Ahmad/39bffe4b62474afcc6af75fa929eef0965df1e45 |
| spellingShingle | Senu, Norazak Ahmad, Nur Amirah Ismail, Fudziah Bachok @ Lati, Norfifah Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems |
| title | Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems |
| title_full | Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems |
| title_fullStr | Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems |
| title_full_unstemmed | Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems |
| title_short | Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems |
| title_sort | embedded 5(4) pair trigonometrically-fitted two derivative runge- kutta method with fsal property for numerical solution of oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/61704/ http://psasir.upm.edu.my/id/eprint/61704/ http://psasir.upm.edu.my/id/eprint/61704/1/Embedded%205%284%29%20pair%20trigonometrically.pdf |