%0 Journal Article
%T An Eight Order Two-Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations
%A Ayodele Olakiitan Owolanke
%A Ohi Uwaheren
%A Friday Oghenerukevwe Obarhua
%J Open Access Library Journal
%V 4
%N 6
%P 1-9
%@ 2333-9721
%D 2017
%I Open Access Library
%R 10.4236/oalib.1103486
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">Our focus is the
development and implementation
of a new two-step hybrid method for the direct solution of general second order
ordinary differential equation. Power
series is adopted as the basis function in </span><span style="line-height:1.5;">the development of the method and
the arising differential system of equations is collocated at all grid and off-grid points. The
resulting equation is interpolated at selected points. We then analyzed the resulting scheme for its basic
properties. Numerical examples were taken to illustrate the efficiency of the
method. The
results obtained converge closely with the exact solutions.</span>
</div>
%K Power Series
%K Collocation and Taylor¡¯s Series Algorithm
%U http://www.oalib.com/paper/5283893