Construction of Block Hybrid Methods for the Solution of Singular Second Order Ordinary Differential Equation

This paper deals with the construction of block methods for solving singular Initial/Boundary value problems (SIBVP). It was done by applying shift operator to two linear multi-step formulas and combined with hybrid set of formula which are developed at the first sub-interval to circumvent the singularity at the left end of the integration interval. The coefficients in our linear multi-step formulas (LMF) are determined using the method of undetermined coefficients. The fundamental properties of the proposed scheme are analyzed. The numerical implementation of the method on some SIBVP are reported, including physical model problems.