Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation

摘要

It is known now that, telegraph equation is more suitable than ordinary diffusion equation in modelling reaction diffusion in several branches of sciences. We generalized Nagumo equation to the Telegraph reaction diffusion equation and present its analytic approximate solution a by using Picard iteration method. Also, using the linear piecewise approximation, traveling wave solution are presented. The results corresponding to the standard Nagumo reaction diffusion equation are regained.