Finite volume discretisation for the one-dimensional convection diffusion-dissipation equation

Abstract

This paper is devoted to analysis of a finite volume scheme for a one-dimensional convection-diffusion-dissipation equation having application in pollution of water table. We analyse a scheme corresponding to a semi-descretization, also called method of lines. Results of numerical experiments using this approach are reported.

The Method of Lines With a Finite Volumes Approach for Transient Convection-Diffusion Problems

“…Similar model was also studied in [9,12]. One finds also an example of convection-diffusion equation in [4] where the authors combine Laplace transform method and homotopy perturbation method to determine analytical solutions.…”

“…An explicit scheme is used to solve the obtained ODE and stability criteria are formulated. The MOL has been already used in many problems (see, e.g., [1,5,6,9,10]) with often a semi-discretization by a finite difference method.…”