@article{MAKHILLRJAS20171219989, title = {Designing a Variable Step Size For the Successful Implementation of P(EC)m and P(EC)mE Mode}, journal = {Research Journal of Applied Sciences}, volume = {12}, number = {1}, pages = {7-13}, year = {2017}, issn = {1815-932x}, doi = {rjasci.2017.7.13}, url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2017.7.13}, author = {Abiodun,Jimevwo Godwin and}, keywords = {principal local truncation error,tolerance level,step size control,convergence,P(EC)m and P(EC)mE mode}, 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.} }