We construct a discrete model for a particular PDE having nonlinear advection, diffusion, and reaction. The use of the …

We present a method for computer simulation of diffusion. The method uses quasi-random walk of particles. We consider a … pure initial value problem for a simple diffusion equation in s space dimensions. We introduce s spatial steps Δxi. A semi …

In this paper a scheme for approximating solutions of convection–diffusion–reaction equations by Markov jump processes … automatically the time adaptivity and, in one space dimension, stable approximations of diffusion operators on non-uniform grids and …

for computing the diffusion coefficients for post-discharge nitriding. The method is based upon an inverse problem of … coefficient identification. The related moving boundary diffusion problem is modeled assuming constant diffusion coefficients and … the identification of the diffusion coefficients the solution of the least square problem is transformed, with some …

The solution of the diffusion equation at the non-stationary boundary represents the so-called Stefan problem which can … be solved by means of the thermal potential of a double-layer with the accuracy sufficient for description of diffusion … boundary shift and diffusivity in the diffusion joints can be determined very precisely from the areas below and above the …

the soil using the techniques of mathematical modeling and computer simulation. The effects of granule radius, diffusion …

bistable chemical reaction-diffusion system which also displays Turing and Hopf instabilities. The Turing bifurcation curve and …

composition and temperature as well as kinetic transport constants such as diffusion coefficients in non-dilute crystalline solids. …