A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems

Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Othman, Mohamed (2009) A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems. In: The 5th International Conference on Mathmatics, Statistics and Their Application(ICMSA2009), 9-11 June 2009, University of Andalas, Indonesia.

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1155/2010/591341

Abstract

A three-stage third-order explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form where the solution is oscillatory. Presented are formula which has zero-dissipation, maximum order of dispersion (or minimal phase-lag) and at the same time with ’small’ principal local truncation error terms . The interval of periodicity is investigated and calculated. Numerical comparisons with current methods in the literature show its clear advantage in term of accuracy.

Item Type:Conference or Workshop Item (Paper)
Keyword:Runge-Kutta-Nyström methods, Phase-lag, Oscillatory solutions
Subject:Runge-Kutta-Nystrom
Subject:Oscillating chemical reactions
Faculty or Institute:Institute for Mathematical Research
ID Code:8840
Deposited By: Erni Suraya Abdul Aziz
Deposited On:21 Dec 2010 04:04
Last Modified:21 Dec 2010 04:09

Repository Staff Only: item control page

Document Download Statistics

This item has been downloaded for since 21 Dec 2010 04:04.

View statistics for "A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems"


Universiti Putra Malaysia Institutional Repository

Universiti Putra Malaysia Institutional Repository is an on-line digital archive that serves as a central collection and storage of scientific information and research at the Universiti Putra Malaysia.

Currently, the collections deposited in the IR consists of Master and PhD theses, Master and PhD Project Report, Journal Articles, Journal Bulletins, Conference Papers, UPM News, Newspaper Cuttings, Patents and Inaugural Lectures.

As the policy of the university does not permit users to view thesis in full text, access is only given to the first 24 pages only.