# Numerical solutions to BVPs governed by the anisotropic modified Helmholtz equation for trigonometrically graded media
> La Nafie N.

URL kanonis: https://discover.unhas.ac.id/publications/numerical-solutions-to-bvps-governed-by-the-anisotropic-modified-helmholtz-equat
Jurnal / Konferensi: Iop Conference Series Materials Science and Engineering
Tahun terbit: 2019
DOI: https://doi.org/10.1088/1757-899X/619/1/012058
Citations: 27

## Authors
- La Nafie N.

## Abstract
Abstract A Boundary Element Method (BEM) is used for obtaining solutions to anisotropic trigonometrically graded media (FGM) boundary value problems (BVPs) governed by the modified Helmholtz type equation. A technique of transforming the variable coefficient governing equation to a constant coefficient equation is utilized for deriving a boundary integral equation. Some particular problems are considered to illustrate the application of the BEM. The results show the convergence, consistency, and accuracy of the BEM solutions.

## Keywords
- Helmholtz equation
- Boundary element method
- Mathematical analysis
- Mathematics
- Boundary value problem
- Helmholtz free energy
- Integral equation
- Convergence (economics)
- Variable (mathematics)
- Consistency (knowledge bases)
- Finite element method
- Physics
- Geometry
- Thermodynamics
- Economic growth
- Economics

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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