# Numerical solutions for anisotropic-diffusion convection problems of incompressible flow in exponentially graded media
> Haddade A.

URL kanonis: https://discover.unhas.ac.id/publications/numerical-solutions-for-anisotropic-diffusion-convection-problems-of-incompressi
Jurnal / Konferensi: Journal of Physics Conference Series
Tahun terbit: 2019
DOI: https://doi.org/10.1088/1742-6596/1341/8/082015
ISSN: 17426588
Citations: 14

## Authors
- Haddade A.

## Abstract
Abstract A boundary element method is utilized to find numerical solutions to boundary value problems of exponentially graded media governed by a spatially varying coefficients anisotropic-diffusion convection equation. The variable coefficients equation is firstly transformed into a constant coefficients equation for which a boundary integral equation can be formulated. A boundary element method (BEM) is then derived from the boundary integral equation. Some problems are considered. The numerical solutions justify the validity of the analysis used to derive the boundary element method with accurate and consistent solutions. A FORTRAN script is developed for the computation of the solutions. The computation shows that the BEM procedure elapses very efficient time in producing the solutions. In addition, results obtained from the considered examples show the effect of the anisotropy of the media on the solutions. An example of a layered material is presented as an illustration of the application.

## Keywords
- Boundary element method
- Mathematical analysis
- Mathematics
- Boundary value problem
- Singular boundary method
- Method of fundamental solutions
- Integral equation
- Boundary knot method
- Computation
- Convection–diffusion equation
- Boundary (topology)
- Finite element method
- Physics
- Algorithm
- Thermodynamics

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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