The structure of spline collocation matrix for singularly perturbation problems with two small parameters

Katarina Surla, Ljiljana Teofanov, Zorica Uzelac

We consider a spline difference scheme on a piecewise uniform Shishkin mesh for a singularly perturbed boundary value problem with two parameters. We show that the discrete minimum principle holds for a suitably chosen collocation points. Furthermore, bounds on the discrete counterparts of the layer functions are given. Numerical results indicate uniform convergence.