  Along the last decades, several regular black hole (BH) solutions, i.e.,
singularity-free BHs, have been proposed and associated to nonlinear
electrodynamics models minimally coupled to general relativity. Within this
context, it is of interest to study how those nonlinear-electrodynamic-based
regular BHs (RBHs) would interact with their astrophysical environment. We
investigate the propagation of a massless test scalar field in the background
of an electrically charged RBH solution, obtained by Eloy Ay\'on-Beato and
Alberto Garc\'ia. Using a numerical approach, we compute the absorption cross
section of the massless scalar field for arbitrary values of the frequency of
the incident wave. We compare the absorption cross sections of the Ay\'on-Beato
and Garc\'ia RBH with the Reissner-Nordstr\"om BH, showing that they can be
very similar in the whole frequency regime.
