eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2015-03-04 3 2 49 53 10.12691/ajams-3-2-1 AJAMS2015321 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, 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. http://pubs.sciepub.com/ajams/3/2/1/ajams-3-2-1.pdf singular boundary value problem singularly perturbations singular point boundary layer finite differences