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

Samat Faieza, F. Ismail, M. Suleiman

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)99-105
Number of pages7
JournalIAENG International Journal of Applied Mathematics
Volume43
Issue number3
Publication statusPublished - 2013
Externally publishedYes

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Second-order Ordinary Differential Equations
Hybrid Method
Ordinary differential equations
Amplification
Oscillating Solutions
Phase-lag
Explicit Methods
Numerical Comparisons
Dissipation
Dependent
Output

Keywords

  • Second-order ordinary differential equations
  • Terms-hybrid methods
  • Zero dissipation error
  • Zero phase-lag

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations. / Faieza, Samat; Ismail, F.; Suleiman, M.

In: IAENG International Journal of Applied Mathematics, Vol. 43, No. 3, 2013, p. 99-105.

Research output: Contribution to journalArticle

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