A scientific study at the University of Basrah prepared by  Prof. Aqeel Jassem Harfash and researcher m. Ghassan Abdul-Amir Ali in the College of Science at the University of Basra under the title (Analysis of Nonlinear reaction Diffusion System  of Fitzhugh-Nagumo with Robin's Boundary Conditions). The study, which was published in Ricerche di Matematica within Springer International Publishing, classified within Scopus and Clarvet Q1 containers, with an impact factor of 1.166 and CiteScore 2.4.The study aims to present a complete case for the application of the Faedo-Galerkin method and stacking concepts to the Fitzhugh-Nagumo system.