TY  - JOUR
T1  - Formulation of Some Linear Multistep Schemes for Solving First Order Initial Value Problems Using Canonical Polynomials as Basis Functions
AU - , M.O. Alabi AU - , A.T. Oladipo AU - , A.O. Adesanya AU - , M.A. Okedoye AU - , O.Z. Babatunde 
JO  - Journal of Modern Mathematics and Statistics
VL  - 1
IS  - 1
SP  - 3
EP  - 7
PY  - 2007
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2007.3.7
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2007.3.7
KW  - Canonical polynomials
KW  -collocation
KW  -interpolation
KW  -multistep methods
KW  -Chebyshev polynomials
AB  - In this study, we shall present the derivation and application of some linear multistep methods in solving initial value problems for first order Ordinary Differential Equations (ODES) using canonical polynomials as basic functions. By interpolating and collocating at some selected points, some important classes of linear multistep methods were generated. The methods derived shall be compared with well known Adams Moulton method of the same order. Some numerical examples were given to illustrate the effectiveness of these methods.
ER  -