@article{MAKHILLJEAS202116219516,
    title = {Solving Directly Third Order Ordinary Differential Equations Using One-Step Block Method
with Generalized Three Hybrid Points and Fourth Derivative Presence},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {16},
    number = {2},
    pages = {58-88},
    year = {2021},
    issn = {1816-949x},
    doi = {jeasci.2021.58.88},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2021.58.88},
    author = {Mohammad and},
    keywords = {Interpolation and collocation,third order ordinary differential equation,direct solution,hybrid block methods,fourth derivative},
    abstract = {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.}
    }