New 4(3) Pairs Diagonally Implicit Runge-Kutta-Nyström Method for Periodic IVPs
Joint Authors
Senu, Norazak
Arifin, Norihan Md.
Ismail, Fudziah
Suleiman, Mohamed bin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-20
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
New 4(3) pairs Diagonally Implicit Runge-Kutta-Nyström (DIRKN) methods with reduced phase-lag are developed for the integration of initial value problems for second-order ordinary differential equations possessing oscillating solutions.
Two DIRKN pairs which are three- and four-stage with high order of dispersion embedded with the third-order formula for the estimation of the local truncation error.
These new methods are more efficient when compared with current methods of similar type and with the L-stable Runge-Kutta pair derived by Butcher and Chen (2000) for the numerical integration of second-order differential equations with periodic solutions.
American Psychological Association (APA)
Senu, Norazak& Suleiman, Mohamed bin& Ismail, Fudziah& Arifin, Norihan Md.. 2012. New 4(3) Pairs Diagonally Implicit Runge-Kutta-Nyström Method for Periodic IVPs. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-463599
Modern Language Association (MLA)
Senu, Norazak…[et al.]. New 4(3) Pairs Diagonally Implicit Runge-Kutta-Nyström Method for Periodic IVPs. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-463599
American Medical Association (AMA)
Senu, Norazak& Suleiman, Mohamed bin& Ismail, Fudziah& Arifin, Norihan Md.. New 4(3) Pairs Diagonally Implicit Runge-Kutta-Nyström Method for Periodic IVPs. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-463599
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463599