Award Date

12-2011

Degree Type

Thesis

Degree Name

Master of Science in Mathematical Science

Department

Mathematical Sciences

First Committee Member

Xin Li, Chair

Second Committee Member

Monica Neda

Third Committee Member

Amei Amei

Graduate Faculty Representative

Pushkin Kachroo

Number of Pages

71

Abstract

In this thesis we study the solution of the two dimensional Laplace equation by the boundary Element method (BEM) and the method of fundamental solutions (MFS). Both the BEM and MFS used to solve boundary value problems involving the Laplace equation 2-D settings. Both methods rely on the use of fundamental solution of the Laplace's equation (the solution of Laplace's equation in the distributional sense). We will contrast and compare the results we get using the BEM with results we get using the MFS.

Keywords

Applied sciences; Harmonic functions; Laplace transformation; Partial differential equations; Pure sciences

Disciplines

Applied Mathematics | Mathematics | Partial Differential Equations

Language

English


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