Superconvergence analysis of the discontinuous galerkin method for singularly perturbed di eren tial equations

Abstract

This thesis provides efficient numerical methods for solving singular perturbation problems SPPs of convection diffusion and reaction diffusion types with boundary layers A differential equation is called singularly perturbed when a small parameter is multiplied with the highest order derivative and this small parameter is called the perturbation parameter Because of the presence of the parameter in the solution of the differential equation steep thin layers occur at the boundaries or and