In the present paper, a brief survey on computational techniques for the different classes of
singularly perturbed problems is given. This survey is a continuation of work performed …

In this article, we examine a higher order convergent approximation for a class of singularly
perturbed two-dimensional (2-D) convection-diffusion-reaction elliptic problems with …

Many partial differential equations arising in practice are parameter-dependent problems
that are of singularly perturbed type. Prominent examples include plate and shell models for …

In the present paper, an exponentially fitted numerical scheme is constructed and analyzed
for solving singularly perturbed two-parameter parabolic problems with large temporal lag …

The singularly perturbed parabolic convection–diffusion equations with integral boundary
conditions and a large negative shift are studied in this paper. The implicit Euler method for …

In this article we study numerical approximation for two-parameter singularly perturbed
parabolic partial differential equations with time delay. A priori bounds on the exact solution …

The present paper deals with the class of time-delayed, singularly perturbed parabolic
reaction–diffusion problems. In the x− t plane, parabolic boundary layers appear on the two …

Consider the singularly perturbed linear reaction-diffusion problem -ε^2Δu+bu=f in Ω⊂R^d,
u=0 on ∂Ω, where d≥1, the domain Ω is bounded with (when d≥2) Lipschitz-continuous …

In this paper a singularly perturbed reaction-diffusion partial differential equation in two
space dimensions is examined. By means of an appropriate decomposition, we describe the …

A numerical study of a two-parameter singularly perturbed time-delay parabolic equation
has been initiated. The proposed technique is based on a fitted operator finite difference …