Science and Education Publishing American Journal of Numerical Analysis 2328-7292 2 6 2014 12 29 A Fitted Second Order Finite Difference Method for Singular Perturbation Problems Exhibiting Dual Layers 184 189 EN H.S. Prasad Y.N. Reddy Department Mathematics, National Institute of Technology, Warangal, INDIA AJNA2014263 10.12691/ajna-2-6-3 2014 12 19 2014 12 25 2014 12 29 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.