IJAM, Volume 27, No. 3 (2014)

Abstract. The aim of this paper is to present a numerical method to solve of a class of singular second order nonlinear differential equations. The singularity of the nonlinear differential equation is modified by L'Hospital rule and boundary condition y'(0)=0. The collocation method yields an nonlinear system and Newton's iterative method solves the nonlinear system. Numerical examples are presented to illustrate the efficiency of the presented method with respect to the other methods.