Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 30, pp. 1-10. Title: A computational technique for solving boundary value problem with two small parameters Author: Devendra Kumar (BITS Pilani, Rajasthan, India) Abstract: In this article we study a singularly perturbed boundary-value problem for a delay differential equation with a small delay parameter in the first derivative term whose solution has a single boundary layer. The proposed method is shown to be stable, and its performance is confirmed with examples. Submitted November 2, 2012. Published January 28, 2013. Math Subject Classifications: 65L03, 65L10, 65L11, 65L20. Key Words: Finite difference method; singular perturbation; delay differential equation; negative shift.