Numerical solutions to a class of scalar elliptic BVPs for anisotropic exponentially graded media

Abstract

The Boundary Element Method (BEM) is used for obtaining solutions to another class of elliptic boundary value problems (BVPs) of anisotropic exponentially graded media. 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.