Robust Monotone Iterates for Nonlinear Singularly Perturbed Boundary Value Problems
Institute of Fundamental Sciences, Massey University, Private Bag 11-222, 4442 Palmerston North, New Zealand
Boundary Value Problems 2009, 2009:320606 doi:10.1155/2009/320606Published: 14 May 2009
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.