K Phaneendra et al journal deAfrikana, 2016, 3(4); 233-251 © journal de afrikana www.jdeafrikana.com 233 Original Research Article ISSN; 2411-1376 Title: Uniformly Convergent Second Order Completely Fitted Finite Difference Scheme for Two-Parameters Singularly Perturbed Two Point Boundary Value Problem K. Phaneendra*, G. Mahesh Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, India _________________________________________________________________________ Corresponding Author: K. Phaneendra Contact: +91- 9849712466 kollojuphaneendra@gmail.com Article Statistics Received: 18 th July 2016 Revised: 30 th Aug 2016 Accepted: 15 th Oct 2016 ISSN; 2411-1376 Abstract: In this paper, a uniformly convergent completely exponential fitted finite difference method is constructed for the solution of two parameters singularly perturbed two-point boundary value problem having dual boundary layer on a uniform mesh. In this method, the discretization equation is developed using higher order finite difference approximations for the derivative terms. Two fitting factors are inserted in the finite difference scheme to take care of the two parameters of the problem. The discretization equation is solved by using the tridiagonal solver discrete invariant imbedding. Convergence of the method is analyzed and the maximum absolute errors with comparison for the standard examples are tabulated to show the efficiency of the method. Keywords: Two parameters singularly perturbed two point boundary value problem, Dual boundary layer, Characteristic equation, Fitting factor. Site this Article: K. Phaneendra, G. Mahesh, Uniformly Convergent Second Order Completely Fitted Finite Difference Scheme for Two-Parameters Singularly Perturbed Two Point Boundary Value Problem, journal de afrikana, 2016, 3(4); 233-251.