Some new Discussions for Collocation,Perturbed Collocation and Runge-Kutta Methods

In this paper,the relationship among the three methods,i.e.Perturbed Collocation Method(PCM),Collocation Method(CM) and Runge-Kutta Method(RKM),is discussed detailedly on a different pointview from the literature.Moreover,a new Runge-Kutta expression and two novel kinds of numerical implementation for PCM are presented.