Abstract: “A portable class of integrators whose numerator and denominator coefficients are Binomial in form is derived. The derivation is based on a known stability function of the arbitrary [L, M] rational integrator, The stability function of this rational integrator is obtained and through which w e obtain our initial Binomially Coefficient integrators. The research went further to prove the convergence and consistency of the derived integrators. Experiments carried out show good encouragement in the applications.”

Keywords: Binomially Coefficient, Rational Integrators, Consistent, Convergent.