Ra`ft  Abdelrahim, Zurni  Omar, Mohamaad  Hijazi, Firas  Alsafi, 
    An Accurate Continuous Hybrid Block Method for the Direct Solution of
General Second Initial Value Problem,
    Journal of Modern Mathematics and Statistics,
    Volume 13,Issue 1,
    2019,
    Pages 15-20,
    ISSN 1994-5388,
    jmmstat.2019.15.20,
    (https://makhillpublications.co/view-article.php?doi=jmmstat.2019.15.20)
    Abstract: In this research, a new hybrid block method of order 5 for solving second order Initial Value Problems
(IVPs) is determined. One step with 3 off step points is used to generate the coefficients of the new method.
This method approximates the solutions of the second order IVPS at x<sub>n</sub>+1/6, x<sub>n</sub>+2/6, x<sub>n</sub>+3/6, x<sub>n+1</sub>, concurrently by using interpolation and collocation approach with fixed step size. The developed method don&#146;t need to reduce
the IVPs to its equivalent system of first order IVPs. The numerical results obtained show that the new method
outperforms the existing methods in terms of error.
    Keywords: Hybrid method;second order differential equation;power series;three off step points;block;IVPs