In this term paper, we designed a quadratic based integration scheme for the solution of initial value problem (IVPs) in ordinary differential equation (ODEs). This was achieved by considering the rational interpolating operator
A class of rational integrator formula given by
in Aashikpelokhai (1991) with K=14 was also implemented and the results compared.
The vector q= (q1, q2………qk) are obtained from the simultaneous linear equation (SLE) Sq=b where
P0 = yn,
The results as analyzed with the computer show that the integrator copes favourably well with singular problems, stiff problem and singulo-stiff problems.
Keywords: Rational Integrators, region of absolute stability, Integration Scheme, Consistency, convergence, stiff and singular problems.
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