Computational Modelling of Wave Propagation

in a Chemical System with Coupling

E.H. Twizell*

Abstract

The chemical system investigated, which incorporates autocatalysis with decay, is modelled by a system of coupled reaction-diffusion equations in which the reaction terms are non-linear.

The system of PDEs is solved by an implicit finite-difference scheme which requires the use of only linear solvers at each time step and which is capable of implementation on a multiple-processor architecture.

Numerical simulations confirm the formation of travelling waves and the stability of the scheme.

*In collaboration with K.M. Furati, M. Al-Mannai, Z.A. Çınar