This study considers the stability function of a high order integrator analysed by Onianwa and Aashikpelokhai (2007) for the sole purpose of having a sound knowledge of the way in which the coefficients of the stability function
is distributed. The study enables us to draw the conclusion as an alternative proof that lies in the unit ball in R3. It also studied and established that the integrator is consistent and convergent.
Key words: Consistency, convergence, open unit ball in R3.
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