Abstract: The successful implementation of P(EC)^m and P(EC)^mE mode otherwise known as block predictor-corrector methodsis solely dependent on the principal local truncation error of both predictor and corrector methods of the same order. The development of this platform is built on formulating a class of P(EC)^m and P(EC)^mE mode that possesses the same order but different k-step. Nevertheless, designing of a variable step size on P(EC)^m and P(EC)^mE mode attracts a lot of computational benefits which guarantees convergence, step size control, tolerance level and error minimization.