%0 Journal Article
%T On supraconvergence phenomenon for second order centered finite differences on non-uniform grids
%A Gayaz Khakimzyanov
%A Denys Dutykh
%J Physics
%D 2015
%I arXiv
%X In the present note we consider an example of a boundary value problem for a simple second order ordinary differential equation, which may exhibit a boundary layer phenomenon. We show that usual central finite differences, which are second order accurate on a uniform grid, can be substantially upgraded to the fourth order by a suitable choice of the underlying non-uniform grid. This example is quite pedagogical and may give some ideas for more complex problems.
%U http://arxiv.org/abs/1511.02770v1