Predictor-Corrector Linear Multistep Method for Direct Solution of Initial Value Problems of Second Order Ordinary differential Equations

In this paper, we considered method of interpolation of the approximate solution and collocation of the differential system to generate a continuous linear multistep method. The basic properties of the method was investigated and found to be zero stable, consistent, P-stable and convergent. The method was tested on numerical examples solved by the existing methods, our method was found to performed better in terms of accuracy.