  It has been shown previously that the presence of a Dzyaloshinskii-Moriya
interaction in perpendicularly magnetized thin films stabilizes N\'eel type
domain walls. We demonstrate, using micromagnetic simulations and analytical
modeling, that the presence of a uniaxial in-plane magnetic anisotropy can also
lead to the formation of N\'eel walls in the absence of a Dzyaloshinskii-Moriya
interaction. It is possible to abruptly switch between Bloch and N\'eel walls
via a small modulation of both the in-plane, but also the perpendicular
magnetic anisotropy. This opens up a route towards electric field control of
the domain wall type with small applied voltages through electric field
controlled anisotropies.
