A non-linear fifth order a-stable explicit one-step method for stiff systems arising in chemical reactions

E. R. El-Zahar, Y. S. Hamed, H. M. Habib

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper, a non-linear explicit one step method is presented for solving stiff differential systems which characterize several kinds of linear reactions and diffusion from biochemistry, physiology, etc. The accuracy and stability properties of the method are investigated and shown to yield at least fifth-order and A-stable. The method is consistent and convergent. Some differential systems arising in chemical reactions are solved to illustrate the performance and accuracy of the method.

Original languageEnglish
Pages (from-to)341-354
Number of pages14
JournalInternational Journal of Pure and Applied Mathematics
Volume94
Issue number3
DOIs
StatePublished - 2014
Externally publishedYes

Keywords

  • Explicit integration methods
  • Initial-value problems
  • Stiff problems

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