Third-order composite Runge-Kutta method for stiff problems

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The derivation of a composite method for solving stiff ordinary differential equations is discussed. Combination of the harmonic and arithmetic means of the Runge-Kutta formulation has resulted in the introduction of a new formula for the numerical solution of stiff ordinary differential equations. The numerical results and the A-stability of this new formula are examined.

Original languageEnglish
Pages (from-to)1221-1226
Number of pages6
JournalInternational Journal of Computer Mathematics
Volume82
Issue number10
DOIs
Publication statusPublished - Oct 2005
Externally publishedYes

Fingerprint

Stiff Ordinary Differential Equations
Stiff Problems
Runge Kutta methods
Runge-Kutta Methods
Ordinary differential equations
Composite
Harmonic mean
A-stability
Composite materials
Runge-Kutta
Numerical Solution
Numerical Results
Formulation

Keywords

  • A-stability
  • Arithmetic mean
  • Harmonic mean
  • Runge-Kutta
  • Stiff ODEs

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Third-order composite Runge-Kutta method for stiff problems. / Ahmad, Rokiah @ Rozita; Yaacob, N.

In: International Journal of Computer Mathematics, Vol. 82, No. 10, 10.2005, p. 1221-1226.

Research output: Contribution to journalArticle

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