A numerical study on the effect of the material's anisotropy in diffusion convection reaction problems

Abstract

A boundary element method (BEM) is utilized to find numerical solutions to boundary value problems of homogeneous media governed by as anisotropic-diffusion convection-reaction (DCR) equation. Some problems are considered. A FORTRAN script is developed for the computation of the solutions. The numerical solutions verify the validity of the analysis used to derive the boundary element method with accurate and consistent solutions. The computation shows that the BEM procedure elapses very efficient time in producing the solutions. In addition, results obtained for the considered examples show the effect of the anisotropy of the media on the solutions.