Single step two stage method for second order singular initial value problems

The classical Runge-Kutta-Nystrom methods cannot be applied di-rectly to solve second order singular initial value problem, due to the singularity at x = 0, These methods require some special procedure to obtain the solution at the first step and are thus not self starting. We have obtained the self starting explicit two stage Runge-Kutta-Nystrom method.Presented method is exact for y = 1x besides having the poly-nomial order. The numerical result for two problems obtained and com-pared with the classical Runge- Kutta-Nystrom method. The numerical results demonstrate their superiority over the classical method.