Zero dissipative fourth-order explicit hybrid methods for solving second-order ordinary differential equations

Samat Faieza, N. Ahmat, N. A Z Noar, M. Suleiman

Research output: Contribution to journalArticle

Abstract

Two fourth-order explicit hybrid methods are developed. Both methods are zero dissipative. The first method has higher phase-lag order whereas the second method has smaller error constant. Numerical comparisons that have been carried out show the advantage of the new methods for solving several initial value problems of second order ordinary differential equations.

Original languageEnglish
Pages (from-to)394-403
Number of pages10
JournalInternational Journal of Applied Mathematics and Statistics
Volume46
Issue number16
Publication statusPublished - 2013
Externally publishedYes

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Initial value problems
Second-order Ordinary Differential Equations
Explicit Methods
Hybrid Method
Ordinary differential equations
Fourth Order
Zero
Phase-lag
Numerical Comparisons
Initial Value Problem

Keywords

  • Error constant
  • Hybrid methods
  • Phase-lag
  • Zero dissipative

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Zero dissipative fourth-order explicit hybrid methods for solving second-order ordinary differential equations. / Faieza, Samat; Ahmat, N.; Noar, N. A Z; Suleiman, M.

In: International Journal of Applied Mathematics and Statistics, Vol. 46, No. 16, 2013, p. 394-403.

Research output: Contribution to journalArticle

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