Science and Education Publishing American Journal of Numerical Analysis 2372-2126 3 1 2015 03 17 Initial Value Method Extended for General Singular Perturbation Problems 25 29 EN Loka Pavani Y. N. Reddy Department of Mathematics, National Institute of Technology, Warangal, Telangana, India AJNA2015314 10.12691/ajna-3-1-4 2015 02 02 2015 -1 03 2015 03 17 In this paper the initial value method is extended for solving singularly perturbed two point boundary value problems with internal and terminal layers. It is distinguished by the following fact: The given singularly perturbed boundary value problem is replaced by two first order initial value problems. These first order problems are solved using Runge Kutta method. Model example for each is solved to demonstrate the applicability of the method.