We present a fully discrete scheme for the numerical approximation of a moving-boundary
problem describing diffusants penetration into rubber. Our scheme utilizes the Galerkin finite …

Thinking of flows crossing through regular porous media, we numerically explore the
behavior of weak solutions to a two-scale elliptic-parabolic system that is strongly coupled …

We consider a moving boundary problem with kinetic condition that describes the diffusion
of solvent into rubber and study semi-discrete finite element approximations of the …

In this paper, we consider the initial and boundary value problem for the beam equation with
the viscosity term and the compressible stress function for the nonlinear strain. We have …

We propose a moving-boundary scenario to model the penetration of diffusants into rubbers.
Immobilizing the moving boundary by using the well known Landau transformation …

Understanding the transport of diffusants into rubber plays an important role in forecasting
the material's durability. In this regard, we study different models, conduct numerical …

In this paper, we consider the initial and boundary value problem for the beam equation with
the viscosity term and the compressible stress function, which was proposed to deal with the …

In this paper, we consider the initial and boundary value problem for the beam equation with
the compressible stress function which has the singularity point with respect to the nonlinear …