In this research work, a Class of
Continuous 4-Step Method (CCSM) for solv- ing
second order ordinary differential equations is
provided. The step size of the approximate solution
affects the coefficients of the developed approach.
As a by-product of the continuous technique, a
discrete second derivatives method is obtained from
the continuous method. At any stage in collocation,
the primary predictor needed for the implicit method
assessment is of the same order as the method. The
stability, consistency, and convergence aspects of the
method were discussed and used to the solve linear
and non-linear problems in order to demon- strate its
applicability and efficiency.
Keywords : Interpolation, Collocation, Ordinary Differential Equation, Predictor-Corrector.