Abstract: The objective of this research was to develop a methodology for calculation based on the networks of neurons for the calculation of axial dispersion in the fixed beds of linings parallelepipedic. In a first stage the results of the axial dispersion obtained on the fixed beds of linings parallelepipedic by the neuronal method was compared with the results resulting from the literature. In a second stage the performances of this method was showed and the computation results was modelled, in the form of mathematical models similar to those proposed by study many researchers, so that one can validate present results with those obtained by researchers, under the same operating conditions.