Implicit Hybrid Points Approach For Solving General Second Order Ordinary Differential Equations With Initial Values
O. O. Olanegan *
Department of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, Nigeria.
B. G. Ogunware
Department of Mathematics and Statistics, Joseph Ayo Babalola University, Ikeji Arakeji, Osun State, Nigeria.
C. O. Alakofa
Department of Mathematics, University of Ibadan, Ibadan, Oyo State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This article focuses on the development of implicit hybrid method for the general solution of second order ordinary differential equations with initial values (IVPs). The method of collocation and interpolation of power series was used to derive the method, while Taylor series is used to develop and analyze the predictors 
The method is found to be consistent and zero-stable. The method shows to be more efficient and accurate when compared with existing work by other authors.
Keywords: Power series, Taylor’s series, implicit method, initial values problems (IVPs), first order ordinary differential equations (ODEs).