Upwind based numerical methods for time dependent singularly perturbed problems with boundary and interior layers

Abstract

This thesis provides some efficient numerical techniques for solving time dependent singularly perturbed problems SPPs possessing boundary and interior layers These types of problems are described by partial differential equations in which the highest spatial derivative is multiplied by an arbitrarily small parameter quotquot known as Dsingular perturbation parameterD This leads to the occurrence of boundary or interior layers which are basically thin regions in the neighbourhood of the bounda