2025-03-29https://repository.covenantuniversity.edu.ng/handle/123456789/37783The successful implementation of P(EC)m and P(EC)mE mode otherwise known as block predictor-corrector method is soley 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.otherQA MathematicsArticle