Monday 26 July 2010

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 88-280
Full Name: Norazak Senu
Position: Doctor (Researcher)
Age: ON
Sex: Male
Address: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia,43400 UPM Serdang, Selangor
Country: MALAYSIA
Tel: 89466848
Tel prefix: 603
Fax: 603 89437958
E-mail address: razak@math.upm.edu.my
Other E-mails: norazak@science.upm.edu.my
Title of the Paper: A New Diagonally Implicit Runge-Kutta-Nyström Method for Periodic IVPs
Authors as they appear in the Paper: Norazak Senu, Mohamed Suleiman, Fudziah Ismail, Mohamed Othman
Email addresses of all the authors: razak@math.upm.edu.my, mohamed@math.upm.edu.my, fudziah@fsas.upm.edu.my, mothman@fsktm.upm.edu.my
Number of paper pages: 10
Abstract: A new diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for the integration of initial-value problems for second-order ordinary differential equations possessing oscillatory solutions. Presented is a method which is three-stage fourth-order with dispersive order six and 'small' principal local truncation error terms and dissipation constant. The analysis of phase-lag, dissipation and stability of the method are also given. This new method is more efficient when compared with current methods of similar type for the numerical integration of second-order differential equations with periodic solutions, using constant step size.
Keywords: Runge-Kutta-Nyström methods; Diagonally implicit; Phase-lag; Oscillatory solutions
EXTENSION of the file: .doc
Special (Invited) Session: A fourth-order diagonally implicit Runge-Kutta-Nyström method with dispersion of high order
Organizer of the Session: 102-139
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