On the relations between B2V Ms and Runge–Kutta collocation methods

The principal aim of this paper is a rigorous analysis of the relations between Block Boundary Value Methods (B2V Ms) with minimal blocksize defined over a suitable nonuniform finer mesh and well-known Runge–Kutta collocation methods. Moreover, a further aspect that will be briefly investigated is the construction of an extended finer mesh for building B2V Ms with nonminimal blocksize. Some advantages that may arise from the use of the so-obtained methods will be also discussed.