Open Access Research Article

Robust Monotone Iterates for Nonlinear Singularly Perturbed Boundary Value Problems

Igor Boglaev

Author Affiliations

Institute of Fundamental Sciences, Massey University, Private Bag 11-222, 4442 Palmerston North, New Zealand

Boundary Value Problems 2009, 2009:320606  doi:10.1155/2009/320606

Published: 14 May 2009

Abstract

This paper is concerned with solving nonlinear singularly perturbed boundary value problems. Robust monotone iterates for solving nonlinear difference scheme are constructed. Uniform convergence of the monotone methods is investigated, and convergence rates are estimated. Numerical experiments complement the theoretical results.