A Zero-Dissipative Phase-Fitted Fourth Order Diagonally Implicit Runge-Kutta-Nyström Method for Solving Oscillatory Problems
Joint Authors
Suleiman, M.
Moo, K. W.
Senu, Norazak
Ismail, Fudzliah
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-25
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A new diagonally implicit Runge-Kutta-Nyström (DIRKN) method is constructed for solving second order differential equations with oscillatory solutions.
The method is originally based on existing DIRKN method derived by Senu et al.
which is three-stage and fourth algebraic order.
The new derived method has a variable coefficient with phase-lag of order infinity.
The numerical experiments are carried out and the results show the efficiency and accuracy of the new method in comparison with the other DIRKN methods in the literature.
American Psychological Association (APA)
Moo, K. W.& Senu, Norazak& Ismail, Fudzliah& Suleiman, M.. 2014. A Zero-Dissipative Phase-Fitted Fourth Order Diagonally Implicit Runge-Kutta-Nyström Method for Solving Oscillatory Problems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-513675
Modern Language Association (MLA)
Moo, K. W.…[et al.]. A Zero-Dissipative Phase-Fitted Fourth Order Diagonally Implicit Runge-Kutta-Nyström Method for Solving Oscillatory Problems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-513675
American Medical Association (AMA)
Moo, K. W.& Senu, Norazak& Ismail, Fudzliah& Suleiman, M.. A Zero-Dissipative Phase-Fitted Fourth Order Diagonally Implicit Runge-Kutta-Nyström Method for Solving Oscillatory Problems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-513675
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513675
