Abiodun  Opanuga, Jimevwo Godwin  Oghonyon, Oluwole  Odetunmibi, 
    Designing a Variable Step Size For the Successful Implementation of
P(EC)<sup>m</sup> and P(EC)<sup>m</sup>E Mode,
    Research Journal of Applied Sciences,
    Volume 12,Issue 1,
    2017,
    Pages 7-13,
    ISSN 1815-932x,
    rjasci.2017.7.13,
    (https://makhillpublications.co/view-article.php?doi=rjasci.2017.7.13)
    Abstract: The successful implementation of P(EC)<sup>m</sup> and P(EC)<sup>m</sup>E 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)<sup>m</sup>
and P(EC)<sup>m</sup>E mode that possesses the same order but different k-step. Nevertheless, designing of a variable step
size on P(EC)<sup>m</sup> and P(EC)<sup>m</sup>E mode attracts a lot of computational benefits which guarantees convergence, step
size control, tolerance level and error minimization.
    Keywords: principal local truncation error;tolerance level;step size control;convergence;P(EC)m and P(EC)mE mode