Master of Science in Mathematical Science
First Committee Member
Xin Li, Chair
Second Committee Member
Third Committee Member
Graduate Faculty Representative
Number of Pages
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.
Applied sciences; Harmonic functions; Laplace transformation; Partial differential equations; Pure sciences
Applied Mathematics | Mathematics | Partial Differential Equations
Salgado-Ibarra, Ermes Anthony, "Boundary Element Method (BEM) and Method of Fundamental Solutions (MFS) for the boundary value problems of the 2-D Laplace's equation" (2011). UNLV Theses, Dissertations, Professional Papers, and Capstones. 1262.