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 …

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

In this paper, the numerical approximation of unsteady convection–diffusion–reaction
equations with finite difference method on a special grid is studied in the convection or …

A time-dependent convection–diffusion-reaction problem is discretized in space by a
continuous finite element method with local projection stabilization and in time by a …

This study addresses how to implement the Galerkin finite element and least square finite
element methods using auxiliary equations to solve the partial differential equation …

We consider space semi-discretization of the transient convection–diffusion equation using
a Streamline Upwind Petrov–Galerkin (SUPG) finite element method. We show stability and …

This paper presents an alternative approach via finite elements to treat numerically the
thermal shocks in heat transfer finite element analysis. The method consists in using the …

In this work, we introduce a variational multi-scale (VMS) method for the numerical
approximation of parabolic problems, where sub-grid scales are approximated from the …

We present a stabilized method for the transient advective-reactive-diffusive equation. The
discretization is based on Rothe's method, which discretizes in time before the spatial …

The Galerkin Finite Element Method (GFEM) with 8‐and 27‐node hexahedrons elements is
used for solving diffusion and transient three‐dimensional reaction‐diffusion with …