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Date of Award


Document Type

Campus Access Master's Report

Degree Name

Master of Science in Applied Physics (MS)

Administrative Home Department

Department of Physics

Advisor 1

Ramy El-Ganainy

Committee Member 1

Miguel Levy

Committee Member 2

Cecile Piret


Radial basis functions (RBF) is a relative young numerical method combines the power of both FD and FEM. It is easy to code and yet can treat complicated geometries. In addition, it can be generalized to any dimension without much difficulty. An important feature of RBF is that it requires only a node cloud as opposed to FEM which requires a node cloud and a mesh generation. As a result, RBF is expected to outperform FEM in problems where adaptive mesh is necessary.