This article reviews some of the salient features of the piecewise-uniform Shishkin mesh.
The central analytical techniques involved in the associated numerical analysis are …

The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

This survey paper contains a surprisingly large amount of material on singularly perturbed
partial differential equations and indeed can serve as an introduction to some of the ideas …

Difference Methods for Singular Perturbation Problems focuses on the development of
robust difference schemes for wide classes of boundary value problems. It justifies the ε …

A Dirichlet boundary value problem for a delay parabolic differential equation is studied on a
rectangular domain in the xt plane. The second-order space derivative is multiplied by a …

A robust numerical scheme is proposed to solve singularly perturbed large time-delay
parabolic convection–diffusion problems. For domain discretization, the backward-Euler …

In this paper we construct a numerical method to solve one-dimensional time-dependent
convection–diffusion problem with dominating convection term. We use the classical Euler …

In the present paper, a parameter-uniform numerical method is constructed and analysed for
solving one-dimensional singularly perturbed parabolic problems with two small …

In this paper, we consider one-and two-dimensional singularly perturbed parabolic reaction-
diffusion problems. We propose a parameter-uniform numerical scheme to solve these …

In this work we construct and analyze some finite difference schemes used to solve a class
of time‐dependent one‐dimensional convection‐diffusion problems, which present only …