UPM Institutional Repository

Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations


Citation

Samat, Faieza and Ismail, Fudziah and Suleiman, Mohamed (2013) Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations. IAENG International Journal of Applied Mathematics, 43 (3). pp. 99-105. ISSN 1992-9978; ESSN:1992-9986

Abstract

Two fifth-order explicit hybrid methods are developed. Based on these methods, phase fitted and amplification fitted methods are constructed by vanishing both the phase-lag and the dissipation error. For the phase fitted and amplification fitted methods, computation of the output stage is dependent on the frequency of the problem being solved, thus the methods can only be applied when the frequency is known in advance. Numerical comparisons that have been carried out show the advantage of the new methods for solving several second-order ordinary differential equations with oscillating solutions.


Download File

[img]
Preview
PDF (Abstract)
Phase fitted and amplification fitted hybrid methods for solving second.pdf

Download (83kB) | Preview

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Publisher: International Association of Engineers
Keywords: Hybrid methods; Second-order ordinary differential equations; Zero dissipation error; Zero phase-lag
Depositing User: Umikalthom Abdullah
Date Deposited: 23 Oct 2014 08:52
Last Modified: 05 Feb 2016 02:06
URI: http://psasir.upm.edu.my/id/eprint/30366
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item