Science and Education Publishing American Journal of Numerical Analysis 2328-7292 2 4 2014 08 18 A Domain Decomposition Method for Solving Singularly Perturbed Two Point Boundary Value Problems via Exponential Splines 128 135 EN P. Padmaja Y.N. Reddy Department of Mathematics, National Institute of Technology, Warangal, INDIA AJNA2014245 10.12691/ajna-2-4-5 2014 08 07 2014 08 14 2014 08 18 In this paper, we presented a domain decomposition method via exponential splines for solving singularly perturbed two-point boundary value problems with the boundary layer at one end (left or right) point. The method is distinguished by the following fact: The original singularly perturbed two-point boundary value problem is divided into two problems, namely inner and outer region problems. The terminal boundary condition is obtained from the solution of the reduced problem. Using stretching transformation, a modified inner region problem is constructed. Then, the inner region problem is solved as two-point boundary value problems by employing exponential splines. Several linear and nonlinear problems are solved to demonstrate the applicability of the method.