New Phase-Fitted and Amplification-Fitted Fourth-Order and Fifth-Order Runge-Kutta-Nyström Methods for Oscillatory Problems
Joint Authors
Moo, K. W.
Senu, Norazak
Ismail, Fudzliah
Suleiman, Mohamed bin
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Two new Runge-Kutta-Nyström (RKN) methods are constructed for solving second-order differential equations with oscillatory solutions.
These two new methods are constructed based on two existing RKN methods.
Firstly, a three-stage fourth-order Garcia’s RKN method.
Another method is Hairer’s RKN method of four-stage fifth-order.
Both new derived methods have two variable coefficients with phase-lag of order infinity and zero amplification error (zero dissipative).
Numerical tests are performed and the results show that the new methods are more accurate than the other methods in the literature.
American Psychological Association (APA)
Moo, K. W.& Senu, Norazak& Ismail, Fudzliah& Suleiman, Mohamed bin. 2013. New Phase-Fitted and Amplification-Fitted Fourth-Order and Fifth-Order Runge-Kutta-Nyström Methods for Oscillatory Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-509829
Modern Language Association (MLA)
Moo, K. W.…[et al.]. New Phase-Fitted and Amplification-Fitted Fourth-Order and Fifth-Order Runge-Kutta-Nyström Methods for Oscillatory Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-509829
American Medical Association (AMA)
Moo, K. W.& Senu, Norazak& Ismail, Fudzliah& Suleiman, Mohamed bin. New Phase-Fitted and Amplification-Fitted Fourth-Order and Fifth-Order Runge-Kutta-Nyström Methods for Oscillatory Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-509829
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509829