The nonlinear time-dependent response to purely transverse shaking of
a thin vertical magnetic flux tube embedded in the solar atmosphere is
investigated numerically. The shaking is imposed on the tube at diffe
rent heights in the solar atmosphere and the resulting magnetic wave e
nergy fluxes are calculated for the observationally established range
of velocity amplitudes and tube magnetic fields. The obtained results
clearly demonstrate that typical wave energy fluxes carried by nonline
ar transverse tube waves are of the order of 10(9) erg/cm(2)s. This, i
n contrast to previous analytical studies, seems to indicate that ther
e is enough wave energy to account for the enhanced heating observed i
n the chromospheric network, and that magnetic tube waves may also pla
y some role in the heating of other regions of the solar atmosphere.