Robust numerical schemes for singularly perturbed boundary value problems on adaptive meshes

Abstract

In this thesis our primary interest is to provide some efficient and higher order numerical techniques for solving singularly perturbed convection diffusion and reaction diffusion boundary value problems exhibiting boundary layers These singular perturbation problems SPPs are described by differential equations in which the highest order derivative is multiplied by an arbitrarily small parameter quotquot say known as singular perturbation parameter This leads to the existence of boundary layers