Keywords : Crank-Nicolson Method

A Crank-Nicolson Method of Autocatalytic Reaction-Diffusion Systems

Abbas Y. Al-Bayati; Saad A. Manaa; Abdulghafor M. Al-Rozbayani

AL-Rafidain Journal of Computer Sciences and Mathematics, 2006, Volume 3, Issue 2, Pages 41-52
DOI: 10.33899/csmj.2006.164050

In this paper we used two numerical methods to investigate propagating heat solutions of PDEs. The explicit and Crank-Nicolson methods and the results show that Crank-Nicolson method is more accurate than the explicit method. As an illustration, we used the above method to an autocatalytic reaction diffusion equations involving two diffusing chemicals in one dimension.