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Home  >  Volume 33

A New Order Six Rational Integrator with Cubic Denominator by Elakhe A. O., Ogbejele, J., Aashikpelokhai, U.S.U (Pages 37-50)
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Various theorems and formulae has been proposed for solving initial value problems (ivps) in Ordinary Differential Equations (ODE) which are singular, stiff or Oscillatory by different researchers in their field of interest.

In this paper, we derived a new order six rational integrator with cubic denominator. We examine its consistency, convergence and stability in generating expected results and compared its performance with existing methods. Our new method performs better than the ones compared with.

                Keywords: Consistency, Convergence, Initial Value Problems, Rational Integrator, Stability