A Three-Step Algorithm for Solving Second Order Ordinary Differential Equations

A linear Multistep Method (LMM) of step length of three with six integrators and uniform order four through interpolation and collocation procedures were developed. The integrators are implemented on a Vanderpol’s oscillator Problem, stiff problem and, exponential problems. The results acquired compares satisfactorily with the existing method in the literatures. The properties of the integrators are fully examined and confirmed to be computationally reliable with the numerical experiments tested.