Advances in Difference Equations
Volume 2006 (2006), Article ID 19214, 12 pages
doi:10.1155/ADE/2006/19214

Perturbation method for linear difference equations with small parameters

Abstract

We consider a boundary value problem for a linear difference equation with several widely different coefficients. We study the existence and uniqueness of its solution and we give successive asymptotic approximations for this solution, obtained by a simple iterative method. This method improves the singular perturbation method, it offers considerable reduction and simplicity in computation since it does not require to compute boundary layer correction solutions.