Explicit methods in solving stiff ordinary differential equations

Rokiah @ Rozita Ahmad, N. Yaacob, A. H. Mohd Murid

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

In this article, we extended the existing explicit Taylor method and modified it to gain a new explicit Taylor-liked method in solving stiff differential equations. We also considered the stability property for this method since the stability property of the classical explicit fourth order Runge-Kutta (RK4) method is not adequate for the solution of stiff problems. Implicit methods could work well for stiff problems but have certain drawbacks especially when discussing about the cost. A comparison of the existing implicit Adam-Bashforth, the classical explicit (RK4) and the new explicit Taylor-liked method is presented.

Original languageEnglish
Pages (from-to)1407-1415
Number of pages9
JournalInternational Journal of Computer Mathematics
Volume81
Issue number11
DOIs
Publication statusPublished - Nov 2004
Externally publishedYes

Fingerprint

Stiff Ordinary Differential Equations
Runge Kutta methods
Convergence of numerical methods
Explicit Methods
Ordinary differential equations
Differential equations
Stiff Problems
Costs
Stiff Differential Equations
Implicit Method
Runge-Kutta Methods
Fourth Order

Keywords

  • Explicit methods
  • Stability
  • Stiff differential equations

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Explicit methods in solving stiff ordinary differential equations. / Ahmad, Rokiah @ Rozita; Yaacob, N.; Mohd Murid, A. H.

In: International Journal of Computer Mathematics, Vol. 81, No. 11, 11.2004, p. 1407-1415.

Research output: Contribution to journalArticle

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