TY  - JOUR
T1  - On Direct Integration of First, Second and Third Order ODES
AU - Adeyefa, E.O. AU - Haruna, Y. AU - Ibrahim, A.A. AU - Abolarin, O.E. AU - Olajide, O.A. AU - Akinola, L.S. 
JO  - Journal of Engineering and Applied Sciences
VL  - 15
IS  - 8
SP  - 1972
EP  - 1976
PY  - 2020
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2020.1972.1976
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2020.1972.1976
KW  - interpolation
KW  -Collocation
KW  -convergence
KW  -hybrid blockmethod
KW  -initial value problems
AB  - A step hybrid block method for the solution of
Initial Value Problems (IVPs) in Ordinary Differential
Equations (ODEs) is presented in this study. The method
is formulated from continuous schemes obtained via.
collocation and interpolation techniques and applied in a
block-by-block manner as numerical integrator for first,
second and third order ODEs. The convergence properties
of the method are discussed via. zero-stability and
consistency. Numerical examples are included and
comparisons are made with existing methods in the
literature.
ER  -