Skip to content
BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2009

Numerical Solution of Systems of Singularly Perturbed Differential Equations

  • T. Linss EMAIL logo and M. Stynes

Abstract

A survey is given of current research into the numerical solution of timeindependent systems of second-order differential equations whose diffusion coefficients are small parameters. Such problems are in general singularly perturbed. The equations in these systems may be coupled through their reaction and/or convection terms. Only numerical methods whose accuracy is guaranteed for all values of the diffusion parameters are considered here. Some new unifying results are also presented.

Received: 2009-02-17
Revised: 2009-04-26
Accepted: 2009-05-30
Published Online: 2009
Published in Print: 2009

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Downloaded on 19.3.2024 from https://www.degruyter.com/document/doi/10.2478/cmam-2009-0010/html
Scroll to top button