%0 Journal Article
%T Uniformly convergent schemes for singularly perturbed differential equations based on collocation methods
%A Dialla Konate
%J International Journal of Mathematics and Mathematical Sciences
%D 2000
%I Hindawi Publishing Corporation
%R 10.1155/s0161171200000910
%X It is well known that a polynomial-based approximation schemeapplied to a singularly perturbed equation is not uniformlyconvergent over the geometric domain of study. Such scheme resultsin a numerical solution, say σ which suffers from severeinaccuracies particularly in the boundary layer. What we say in thecurrent paper is this: when one uses a grid which is not “toocoarse” the resulted solution, even being nonuniformly convergentmay be used in an iterated scheme to get a “good” approximationsolution that is uniformly convergent over the whole geometricdomain of study.
%U http://www.hindawi.com/journals/ijmms/2000/151950/abs/