# Numerical solutions to anisotropic BVPs for quadratically graded media governed by a Helmholtz equation
> Hamzah S.

URL kanonis: https://discover.unhas.ac.id/publications/numerical-solutions-to-anisotropic-bvps-for-quadratically-graded-media-governed
Jurnal / Konferensi: Iop Conference Series Materials Science and Engineering
Tahun terbit: 2019
DOI: https://doi.org/10.1088/1757-899X/619/1/012060
ISSN: 17578981
Citations: 30

## Authors
- Hamzah S.

## Abstract
Abstract A Boundary Element Method (BEM) is used for obtaining solutions to anisotropic quadratically graded media boundary value problems (BVPs) governed by a 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
- Mathematics
- Mathematical analysis
- Quadratic growth
- Boundary value problem
- Convergence (economics)
- Consistency (knowledge bases)
- Helmholtz free energy
- Integral equation
- Finite element method
- Geometry
- Physics
- Economics
- Economic growth
- Thermodynamics
- Quantum mechanics

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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