%0 Journal Article
%T Uniform Second-Order Difference Method for a Singularly Perturbed Three-Point Boundary Value Problem
%A £¿ak£¿r Musa
%J Advances in Difference Equations
%D 2010
%I Springer
%X We consider a singularly perturbed one-dimensional convection-diffusion three-point boundary value problem with zeroth-order reduced equation. The monotone operator is combined with the piecewise uniform Shishkin-type meshes. We show that the scheme is second-order convergent, in the discrete maximum norm, independently of the perturbation parameter except for a logarithmic factor. Numerical examples support the theoretical results.
%U http://www.advancesindifferenceequations.com/content/2010/102484