A crank-nicolson method of autocatalytic reaction-diffusion systems

Abstract EN

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 equation involving two diffusing chemicals in one dimension.