A study about the solution of convection–diffusion–reaction equation with Danckwerts boundary conditions by analytical, method of lines and Crank–Nicholson techniques

We compare different solutions of the convection–diffusion–reaction problem with Danckwerts boundary conditions. Analytical solution is found, and method lines Crank–Nicholson are described, applied, compared for values Péclet Damköhler numbers. The eigenvalues eigenfunctions have been obtained all possible dimensionless parameters. And analytical expression concentration has calculated optimum number terms in Fourier expansion.