Removal of contrived chaos in finite-difference methods

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

A chaos-free numerical method will be developed for the solution of a system of non-linear initial-value problems (IVP's) associated with the transmission dynamics of two HIV subtypes. It will be shown that integration of this four-dimensional system with some standard numerical integrators like the fourth-order Runge-Kutta algorithm leads to scheme-dependent numerical instabilities.

Original languageEnglish (US)
Pages (from-to)1033-1041
Number of pages9
JournalInternational Journal of Computer Mathematics
Volume79
Issue number9
DOIs
StatePublished - Dec 1 2002
Externally publishedYes

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Keywords

  • Chaos
  • Finite-difference method
  • Initial-value problem
  • Stability

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

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