# DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties
> Azis M.I.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85211993811
Jurnal / Konferensi: Results in Physics
Tahun terbit: 2025
DOI: https://doi.org/10.1016/j.rinp.2024.108070
ISSN: 22113797
Kuartil SJR: Q2
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 a spatio-temporal coefficient modified Helmholtz-type equation with arbitrary initial conditions 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 demonstrated the accuracy of numerical solutions.

## Keywords
- Helmholtz free energy
- Space (punctuation)
- Spacetime
- Physics
- Mathematics
- Mathematical analysis
- Computer science
- Thermodynamics
- Quantum mechanics
- Operating system

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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