Open AccessNumerical solutions to BVPs governed by the anisotropic modified Helmholtz equation for trigonometrically graded media
Author(s) -
Nursiah La Nafie,
Moh. Ivan Azis,
Fahruddin
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/619/1/012058
Subject(s) - 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 , economics , economic growth
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.