  The reaction-diffusion equation is one of the cornerstones equations in
applied science and engineering. In the present study, a deep neural network
has been trained in order to predict the solution of the equation with
different coefficients using the numerical solution of this equation and the
utility of deep learning. Analytical solution of the Reaction-Diffusion
equation also has been conducted by taking advantage of the Danckwerts method.
The accuracy of deep learning results was compared with the analytical
solutions. In order to decrease the learning time and to find out similar
equations solutions, such as pure diffusion and pure reaction, dimensional
analysis technique has been performed. It was demonstrated that deep learning
can accurately estimate the Partial Differential Equations solutionin the case
of the reaction-diffusion equation with a constant coefficient.
