Abstract:
The FitzHugh-Nagumo equation has various applications in the fields of flame propagation, logistic population
growth, neurophysiology, autocatalytic chemical reaction and nuclear theory. In this work, we construct three versions
of nonstandard finite difference schemes in order to solve the FitzHugh-Nagumo equation with specified initial and boundary
conditions under three different regimes. Properties of the methods such as positivity and boundedness are studied. The
performances of the three methods is compared by computing L1, L∞ errors and CPU time at given time, T = 1.0.
