Boundary Value Problems
Volume 2009 (2009), Article ID 320606, 17 pages
doi:10.1155/2009/320606

Robust monotone iterates for nonlinear singularly perturbed boundary value problems

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.