Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2016.236.241OghonyonJimevwo Godwin OkunugaSolomon Adebola IyaseSamuel Azubuike 52016165Milnes implementation on block predictor-corrector methods for integrating nonstiff ordinary differential equations is been considered. The introduction of Milnes 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 Milnes implementation of the principal local truncation error on a pair of predictor-corrector method of Adams type formulas, which is implemented either in P(EC)m or P(EC)m E mode. The implementation of Milnes 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.]]>Dormand, J.R.,1996Pages: 384Pages: 384Akinfenwa, O.A., S.N. Jator and N.M. Yao,2013659961005Jain, M.K., S.R.K. Iyengar and R.K. Jain,20075th Edn.,Pages: 816Pages: 816Lambert, J.D.,1973Pages: 278Pages: 278Xie, L. and H. Tian,2014241356370Mehrkanoon, S., Z.A. Majid and M. Suleiman,201023323872394Adesanya, A.O., M.R. Odekunle and A.O. Adeyeye,201223542Ehigie, J.O., S.A. Okunuga and A.B. Sofoluwe,20112011Fatunla, S.O,1991415563Ismail, F., Y.L. Ken and M. Othman,20093239254James, A.A., A.O. Adesanya and S. Joshua,201383405416Ken, Y.L., I.F. Ismail and M. Suleiman,20112011Cash, J.R. and S. Semnani,1993454146Cong, N.H. and L.N. Xuan,2008221165173Majid, Z.A. and M.B. Suleiman,2007184514522Majid, Z.A. and M. Suleiman,2008407175Ibrahim, Z.B., K.I. Othman and M. Suleiman,2007r-point block backward differentiation formula for solving first-order stiff ODEs.]]>186558565Lambert, J.D.,19911st Edn.,Pages: 304Pages: 304Gear, C.W.,1971Pages: 253Pages: 253Quarteroni, A., R. Sacco and F. Saleri,20001st Edn.,Faires, J.D. and R.L. Burden,20122012Ascher, U.M. and L.R. Petzold,1998Pages: 314Pages: 314Oghonyon, J.G., S.A. Okunuga and S.A. Bishop,20151138473862