Open AccessBEM solutions to BVPs governed by the anisotropic modified Helmholtz equation for quadratically graded media
Author(s) -
Moh. Ivan Azis,
Rafiuddin Syam,
Siti Raihana Hamzah
Publication year - 2019
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/279/1/012010
Subject(s) - helmholtz equation , boundary element method , mathematical analysis , mathematics , quadratic growth , boundary value problem , convergence (economics) , helmholtz free energy , integral equation , finite element method , physics , quantum mechanics , economics , economic growth , thermodynamics
A Boundary Element Method (BEM) is used for obtaining solutions to anisotropic quadratically 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.