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. |