2025-03-29https://repository.covenantuniversity.edu.ng/handle/123456789/37780Milne’s implementation on block predictor-corrector methods for integration nonstiff ordinary differential equations is been considered. The introduction of Milne’s implementation attracts a lot of computational benefits, which guarantees step size variation, convergence criteria and error control. Existence and uniqueness for the nonstiff problems were recognized. The approach was employ Milne’s implementation of the principal local truncation error on a pair of predictor-corrector method of Adams type formulas, which is implemented either P(EC)m or P(EC)mE mode. The implementation of Milne’s estimate and evaluation of the block method for nonstiff ODEs was analyzed in details. In addition, an algorithm for the implementation of the method was specified.otherQA MathematicsArticle