On the behaviour of solutions of the two-cell cubic autocatalator reaction model

H. I. Abdel-Gawad, K. M. Saad
2008 ANZIAM Journal  
Approximate solutions of the initial value problem for reaction diffusion equations in two regions (cells) are obtained. The system is considered here with two chemical species, species A and the autocatalyst B. The reaction is taken to be cubic in the autocatalysis in the first region with linear exchange through A. In the first region, the autocatalyst is taken to decay linearly. Approximate solutions are found through the Picard iterative sequence of solutions. The space and time variations
more » ... f the concentration of the species A and B are evaluated in the two regions.
doi:10.21914/anziamj.v44i0.487 fatcat:bckxzpthcndnfikb4ltodmp2eq