One step Cosine-Taylorlike method for solving stiff equations

Rokiah @ Rozita Ahmad, Nazeeruddin Yaacob

Research output: Contribution to journalArticle

Abstract

This paper discusses the derivation of an explicit Cosine-Taylorlike method for solving stiff ordinary differential equations. The formulation has resulted in the introduction of a new formula for the numerical solution of stiff ordinary differential equations. This new method needs an extra work in order to solve a number of differentiations of the function involved. However, the result produced is better than the results from the explicit classical fourth-order Runge-Kutta (RK4) and the implicit Adam-Bashforth-Moulton (ABM) methods. When compared with the previously derived Sine-Taylorlike method, the accuracy for both methods is almost equivalent.

Original languageEnglish
Pages (from-to)41-47
Number of pages7
JournalJurnal Teknologi
Volume53
Publication statusPublished - Sep 2010

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Ordinary differential equations

Keywords

  • Adam-bashforth-moulton
  • Explicit method
  • Implicit method
  • Runge-kutta
  • Sine-taylorlike
  • Stiff ordinary differential equations

ASJC Scopus subject areas

  • Engineering(all)

Cite this

One step Cosine-Taylorlike method for solving stiff equations. / Ahmad, Rokiah @ Rozita; Yaacob, Nazeeruddin.

In: Jurnal Teknologi, Vol. 53, 09.2010, p. 41-47.

Research output: Contribution to journalArticle

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