Authors : J.O. Fatokun
Abstract: This study presents a continuous approach for the derivation of self-starting multistep methods for the numerical treatment of ordinary differential equations. The popular k-step Adams Moulton class requires single step methods to obtain the (k-1) starting values. In this paper we consider a collocation approach at the various interpolation points to obtain a set of k-multistep methods. The set of methods are of uniform order and A-stable. Two examples are presented here.
J.O. Fatokun , 2007. Continuous Approach for Deriving Self-Starting Multistep Methods for Initial Value Problems in Ordinary Differential Equations. Journal of Engineering and Applied Sciences, 2: 504-508.