# A boundary-only element method for 2D unsteady diffusion convection reaction problems of trigonometrically graded anisotropic materials
> Azis M.I.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85119613106
Jurnal / Konferensi: International Journal for Computational Methods in Engineering Science and Mechanics
Tahun terbit: 2022
DOI: https://doi.org/10.1080/15502287.2021.2002974
ISSN: 15502287
Kuartil SJR: Q2
Citations: 0

## Authors
- Azis M.I.

## Abstract
A diffusion convection reaction (DCR) problem for anisotropic functionally graded materials (FGMs) is discussed in this paper to find numerical solutions by using a combined Laplace transform (LT) and boundary element method (BEM). The variable coefficients equation is transformed to a constant coefficients equation which is then Laplace-transformed so that the time variable vanishes. A purely boundary integral equation involving a time-free fundamental solution can then be derived and employed to find numerical solutions using a BEM. The results obtained are inversely transformed numerically using the Stehfest formula. The combined LT-BEM is easy to implement, efficient and accurate for solving numerically the problems.

## Keywords
- Laplace transform
- Boundary element method
- Mathematical analysis
- Mathematics
- Variable (mathematics)
- Method of fundamental solutions
- Convection–diffusion equation
- Boundary value problem
- Anisotropy
- Constant (computer programming)
- Laplace's equation
- Integral equation
- Diffusion
- Boundary (topology)
- Finite element method
- Boundary knot method
- Physics
- Computer science
- Thermodynamics
- Programming language
- Quantum mechanics

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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