# Numerical Solutions of DCR Problems for Anisotropic FGMs of Spatio-Temporal Dependent Properties and a Source Inclusion
> Azis M.I.

URL kanonis: https://discover.unhas.ac.id/publications/numerical-solutions-of-dcr-problems-for-anisotropic-fgms-of-spatio-temporal-depe
Jurnal / Konferensi: Journal of Advanced Research in Numerical Heat Transfer
Tahun terbit: 2025
DOI: https://doi.org/10.37934/arnht.30.1.82107
Kuartil SJR: Q3
Citations: 0

## Authors
- Azis M.I.

## Abstract
A combined Laplace transform (LT) and domain-boundary element method (DBEM) are utilized to obtain numerical solutions for an unsteady spatio-temporal coefficient diffusion-convection-reaction (DCR) equation with arbitrary initial condition and source terms, addressing problems in a distinct class of anisotropic functionally graded materials (FGMs). The process involves deriving a domain-boundary integral equation by transforming the variable coefficient equation into a constant coefficient equation and applying the Laplace transform. Numerical solutions are then obtained using the standard domain-boundary element method and the Stehfest formula. This study includes cases for compressible or incompressible flows, and demonstrates the accuracy of the numerical solutions.

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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