Abstract: This study describes a two-step second order inverse polynomial method for the numerical solution of ordinary differential equations with singularities. The scheme is based on rational functions approximation technique and its development and analysis is based on power series expansions (Taylor and Binomial) and Dalhquist stability test method. The scheme is convergent and A-stable. Numerical results show that the scheme is accurate, effective and efficient.
K.O. Okosun and R.A. Ademiluyi , 2007. A Two Step-Second Order Inverse Polynomial Methods for Integration of Differential Equations with Singularities. Research Journal of Applied Sciences, 2: 13-16.