Numerical solutions for BVPs governed by a Helmholtz equation of anisotropic FGM

International Conference on Geoscience

Nurwahyu, B.^1 ; Abdullah, B.^2 ; Massinai, A.^2 ; Azis, M.I.^1

Department of Mathematics, Hasanuddin University, Makassar, Indonesia^1

Department of Physics, Hasanuddin University, Makassar, Indonesia^2

关键词: Constant coefficients;    Functionally graded;    Governing equations;    Helmholtz-type equations;    Numerical solution;    Variable coefficients;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/279/1/012008/pdf
DOI  :  10.1088/1755-1315/279/1/012008

来源: IOP

【 摘 要 】

A Boundary Element Method (BEM) is used for obtaining solutions to anisotropic functionally graded media (FGM) 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.