Boundary Element Method Applied to the Two Dimensional Stefan Moving BoundaryProblem

摘要

This thesis considers problems for which the boundary is not known before theproblem is solved and must be determined as part of the solution. We consider a time dependent problem which results in a moving boundary. We look at the heat conduction/diffusion equation in one and two spatial dimensions. We use Green's Theorem to yield a Volterra boundary integral equation which involves an unknown function on the moving boundary. We use the boundary element method to obtain a solution. Graphical results for the two dimensional problem are presented.