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Universitas Hasanuddin
Research output:Contribution to journal›Article›peer-review

A Numerical Simulation of Diffusion-Convection Problems in Heterogeneous Media with a Point Source

Solekhudin I.

Sains Malaysiana

Q2
Published: 2025

Abstract

In this paper, some time-independent diffusion-convection problems in anisotropic media are considered. To study the problems, the governing equation of the problems is transformed into a diffusion-convection equation in a homogeneous isotropic media. The transformed equation with respect to transformed boundary conditions are solved numerically using Dual Reciprocity Boundary Element Method (DRBEM). The method is tested using several problems involving time-independent diffusion-convection. Two of the problems are with analytical solution, and the other problems are with point sources without known analytical solution.

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10.17576/jsm-2025-5409-17

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IsotropySciences
Reciprocity (cultural anthropology)Sciences
Boundary element methodSciences
Boundary value problemSciences
Mathematical analysisSciences
Point (geometry)Sciences
AnisotropySciences
MathematicsSciences
Dual (grammatical number)Sciences
HomogeneousSciences
Method of fundamental solutionsSciences
Applied mathematicsSciences
Point sourceSciences
Computer simulationSciences
Numerical analysisSciences
Boundary (topology)Sciences
Singular boundary methodSciences
Finite element methodSciences
Computer scienceSciences
Partial differential equationSciences
Mathematical optimizationSciences
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