Abstract:
In this paper, we propose a Time Fractional Reaction
Diffusion mo del for
the growth of corals in a tank and solve that model numerically. In order to
do numerical simulations, we transformed the model equations in to a
system of ordinary differential equations (ODEs} by discretising the model
equations in space and repr esented it in a matrix form. Also, we represented
the discrete Laplace operator of the model by a matrix embedding of the
boundary conditions. We solved this system of ODEs using an explicit
scheme, two implicit schemes and Matlab code FDE12 written by R.
Garrappa which is an implementation of the predictor corrector method. We
compared the solutions obtained by these numerical methods.
