This paper focuses on the construction of two-point and three-point implicit block
methods for solving general second order Initial Value Problems. The proposed methods
are formulated using Hermite Interpolating Polynomial. The block methods approximate
the numerical solutions at more than one point at a time directly without reducing the
equation into the first order system of ordinary differential equations. In the derivation of
the method, the higher derivative of the problem is incorporated into the formula to enhance
the efficiency of the proposed methods. The order and zero- stability of the methods are
also presented. Numerical result