Hyper-third order full-discretization methods in milling stability prediction

Full-discretization methods beyond the third order is not yet explored except for this work in which the fourth and fifth order methods are presented. It is seen in earlier works that accuracy of milling stability analysis using the full-discretization method rises from the first order method to the second order method and continues to rise to the third order method. It is seen in this work that the rise in accuracy of the full-discretization Method with order continues to the proposed fourth order method where it (accuracy) peaks before a decline to the proposed fifth order method. (C) 2015 Elsevier Ltd. All rights reserved.