This research tries to find a meeting point that will reduce regenerative chatter
which is a prolonged form of chatter under control by modeling the machining
process using first order least square full discretization method. A mathematical
model was developed to assist to locate the productive spindle speed at which the
lobbing effects occur and depth of cut combination for the machinist. Computational
algorithm was developed for the purpose of delineating stability lobe diagram into
stable and unstable regions. The results show considerably smooth milling which will
be of immense benefit to machinist in choosing the route to follow in machining
oppression.