TY  - JOUR
T1  - A New Derivation of Continuous Collocation Multistep Methods Using Power Series as Basis Function
AU - Okunuga, S.A. AU - Ehigie, J. 
JO  - Journal of Modern Mathematics and Statistics
VL  - 3
IS  - 2
SP  - 43
EP  - 50
PY  - 2009
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2009.43.50
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2009.43.50
KW  - Chebyshev polynomials
KW  -optimal order
KW  -continuous collocation
KW  -scheme
KW  -alternative
AB  - Some derivations of continuous linear multistep methods are given in this study. The study provides, the use of both collocation and interpolation techniques to obtain the schemes. Rather than using Chebyshev polynomials as basis function as it was always done in the past, we introduced the use of direct form of power series as an alternative to the derivation of these schemes. Multistep methods have over the years been one of the most popular and acceptable methods for generating solutions to initial value problems of ordinary differential equations.
ER  -