Ultrasound enhanced drug transport is a multiphysics problem involving acoustic waves
propagation, bioheat transfer, and drug transport. In this paper, we study a model for this …

In this paper we consider the coupling between two quasilinear diffusion equations: the
diffusion coefficient of the first equation depends on its solution and the diffusion and …

In this paper we study a system of partial differential equations defined by a hyperbolic
equation and a parabolic equation. The convective term of the parabolic equation depends …

In this paper we propose a numerical scheme to approximate the solution of a non-Fickian
coupled model that describes, eg, miscible transport in porous media. The model is defined …

In this paper we propose a numerical scheme for wave type equations with damping and
space variable coefficients. Relevant equations of this kind arise for instance in the context …

In this paper we study numerical methods for integro-differential initial boundary value
problems that arise, naturally, in many applications such as heat conduction in materials …

In this paper, a difference finite element (DFE) method is presented for the 3D Poisson
equation on non-uniform meshes by using the P1− P1-conforming element. This new …

In the present study we consider an example of a boundary value problem for a simple
second order ordinary differential equation, which may exhibit a boundary layer …

A superconvergence error estimate for the gradient approximation of the second order
elliptic problem in three dimensions is analyzed by using weak Galerkin finite element …

In this paper, we propose a novel difference finite element (DFE) method based on the P 1-
element for the 3D heat equation on a 3D bounded domain. One of the novel ideas of this …