Removal of Contrived Chaos in Finite-difference Methods

Author: Gumel A.B.  

Publisher: Taylor & Francis Ltd

ISSN: 0020-7160

Source: International Journal of Computer Mathematics, Vol.79, Iss.9, 2002-01, pp. : 1033-1041

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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.