eng Science and Education Publishing American Journal of Numerical Analysis 2328-7292 2014-12-29 2 6 184 189 10.12691/ajna-2-6-3 AJNA2014263 article H.S. Prasad 1 Y.N. Reddy ynreddy_nitw@yahoo.com 2 Department of Mathematics, National Institute of Technology, Jamshedpur, INDIA Department Mathematics, National Institute of Technology, Warangal, INDIA In this paper a fitted second-order finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at both end (left and right) points. We have introduced a fitting factor in second-order tri-diagonal finite difference scheme and it is obtained from the theory of singular perturbations. The efficient Thomas algorithm is used to solve the tri-diagonal system. Maximum absolute errors are presented in tables to show the efficiency of the method. http://pubs.sciepub.com/ajna/2/6/3/ajna-2-6-3.pdf singular perturbation problems Boundary layer dual layer Finite differences fitted method