  We solve a multitrace matrix model approximating the real quartic scalar
field theory on the fuzzy sphere and obtain its phase diagram. We generalize
this method to models with modified kinetic terms and demonstrate its use by
investigating models related to the removal of the UV/IR mixing. We show that
for the fuzzy sphere a modification of the kinetic part of the action by higher
derivative term can change the phase diagram of the theory such that the triple
point moves further from the origin.
