@article{MAKHILLJEAS20072312708, title = {Continuous Approach for Deriving Self-Starting Multistep Methods for Initial Value Problems in Ordinary Differential Equations}, journal = {Journal of Engineering and Applied Sciences}, volume = {2}, number = {3}, pages = {504-508}, year = {2007}, issn = {1816-949x}, doi = {jeasci.2007.504.508}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2007.504.508}, author = {J.O. Fatokun}, keywords = {Self-starting multistep methods,legendre polynomial and functions,kerturbation term,convergence,block methods,hybrid methods}, 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.} }