eng Science and Education Publishing American Journal of Numerical Analysis 2372-2126 2015-03-17 3 1 25 29 10.12691/ajna-3-1-4 AJNA2015314 article Loka Pavani 1 Y. N. Reddy ynreddy_nitw@yahoo.com 2 Department of Mathematics, Osmania University College For Women, Hyderabad, Telangana, India Department of Mathematics, National Institute of Technology, Warangal, Telangana, India 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. http://pubs.sciepub.com/ajna/3/1/4/ajna-3-1-4.pdf singular perturbations internal layer two layers initial value method