@article{MAKHILLJMMS201913128204,
    title = {An Accurate Continuous Hybrid Block Method for the Direct Solution of
General Second Initial Value Problem},
    journal = {Journal of Modern Mathematics and Statistics},
    volume = {13},
    number = {1},
    pages = {15-20},
    year = {2019},
    issn = {1994-5388},
    doi = {jmmstat.2019.15.20},
    url = {https://makhillpublications.co/view-article.php?issn=1994-5388&doi=jmmstat.2019.15.20},
    author = {Ra`ft,Zurni,Mohamaad and},
    keywords = {Hybrid method,second order differential equation,power series,three off step points,block,IVPs},
    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.}
    }