Continuous two step hybrid block predictor-hybrid block corrector method for the solution of second order initial value problems of ordinary differential equations

Abstract

This paper considers the implementation of two steps, two hybrid points implemented in block predictor-block corrector method with constant step size. The method is developed using collocation and interpolation of power series approximate solution to give a continuous linear multistep method in which the predictor and corrector are implemented in block method. The basic properties of the corrector was investigated and found to be zero stable, consistent and convergent. The efficiency of the derived method was tested on some numerical examples and found to give better approximation than the existing methods.