Journal of Applied Mathematics and Simulation
Volume 2 (1989), Issue 3, Pages 139-167
http://dx.doi.org/10.1155/S1048953389000122
Large scale singularly perturbed boundary value problems
Department of Mathematics, The University of Texas at Arlington, Arlington 76019, Texas, USA
Received 1 April 1989; Revised 1 July 1989
Copyright © 1989 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper an alternative approach to the method of asymptotic expansions for the study of a
singularly perturbed linear system with multiparameters and multiple time scales is developed. The
method consists of developing a linear non-singular transformation that transforms an arbitrary