An embedded explicit hybrid method for ordinary differential equations

Samat Faieza, F. Ismail

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Problem statement: Many differential systems that appear in practice were special secondorder ordinary differential equations of the form y" = f (x, y). In the past research, there was a continuous need for methods for numerically solving these equations. Approach: This study describes the derivation and implementation of a pair of embedded explicit hybrid methods for solving non-stiff second-order ordinary differential equations y" = f (x, y). Results: It was shown that our method was more efficient than the well-known embedded pair of explicit runge-kutta-nystrom methods for solving some second-order problems. Conclusion: Our method can be considered as an alternative for the numerical solution of y" = f (x, y).

Original languageEnglish
Pages (from-to)32-36
Number of pages5
JournalJournal of Mathematics and Statistics
Volume8
Issue number1
DOIs
Publication statusPublished - 10 Dec 2011
Externally publishedYes

Fingerprint

Explicit Methods
Hybrid Method
Ordinary differential equation
Runge-Kutta-Nyström Methods
Second-order Ordinary Differential Equations
Differential System
Numerical Solution
Alternatives

Keywords

  • Hybrid method
  • Multistep methods
  • Numerically solving
  • Ordinary Differential Equations (ODEs)
  • Runge Kutta-Nystrom (RKN)

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

An embedded explicit hybrid method for ordinary differential equations. / Faieza, Samat; Ismail, F.

In: Journal of Mathematics and Statistics, Vol. 8, No. 1, 10.12.2011, p. 32-36.

Research output: Contribution to journalArticle

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