TY  - JOUR
T1  - Continuous Approach for Deriving Self-Starting Multistep Methods for Initial Value Problems in Ordinary Differential Equations
AU - , J.O. Fatokun 
JO  - Journal of Engineering and Applied Sciences
VL  - 2
IS  - 3
SP  - 504
EP  - 508
PY  - 2007
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2007.504.508
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2007.504.508
KW  - Self-starting multistep methods
KW  -legendre polynomial and functions
KW  -kerturbation term
KW  -convergence
KW  -block methods
KW  -hybrid methods
AB  - 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.
ER  -