Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 3 2 2015 03 04 A Fifth Order Compact Difference Method for Singularly Perturbed Singular Boundary Value Problems 49 53 EN H.S. Prasad Y.N. Reddy Department Mathematics, National Institute of Technology, Warangal, INDIA AJAMS2015321 10.12691/ajams-3-2-1 2014 11 17 2015 03 01 2015 03 04 In this paper, we have developed a fifth order compact difference method for a class of singularly perturbed singular two-point boundary value problems. To avoid the singularity at zero a terminal boundary condition in the implicit form is derived. Using this condition as one of the boundary condition we solve the singularly perturbed singular two-point boundary value problem by the fifth order compact difference scheme. Numerical results are presented to illustrate the proposed method and compared with exact solution.