Exponential splines difference scheme for singular perturbation problem with mixed boundary conditions

Abstract

SUMMARYWe generate an exponential splines difference scheme for a one-dimensional singularly perturbed selfadjoint problem along with general boundary conditions of the third kind. We obtain O (h min(h,&)) accuracy if one has Dirichlet's boundary conditions on the right end point, and order one in the remaining cases. These results are supported by numerical experiments.