TY  - JOUR
T1  - Solving Directly Third Order Ordinary Differential Equations Using One-Step Block Method
with Generalized Three Hybrid Points and Fourth Derivative Presence
AU - Alkasassbeh, Mohammad AU - , Zurniomar 
JO  - Journal of Engineering and Applied Sciences
VL  - 16
IS  - 2
SP  - 58
EP  - 88
PY  - 2021
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2021.58.88
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2021.58.88
KW  - Interpolation and collocation
KW  -third order ordinary differential equation
KW  -direct solution
KW  -hybrid block methods
KW  -fourth derivative
AB  - This study proposes one-step block method
with generalized three-hybrid points for solving initial
value problems of third order ordinary differential
equations directly using interpolation and collocation
strategy. In deriving this method, the approximate power
series function is interpolated at {x<sub>n</sub>, x<sub>n+r</sub>, x<sub>n+s</sub>} while its
third and fourth derivatives are collocated at {x<sub>n</sub>, x<sub>n+r</sub>, x<sub>n+s</sub>,
x<sub>n+t</sub> and x<sub>n+1</sub>} in the given interval. Not only the developed
method possesses good numerical method properties but
it also out performs the existing methods when solving the
same problems.
ER  -