The Boundary Element Method for the Diffusion Equation: A Feasibility Study
The use of the boundary element method for solving the mathematical diffusion equation is presented. The boundary integral equation method is used to derive the integral equation. For the numerical solution, there are two basic approaches to the discretization in time, and the issues involved are discussed. The formulation has been extended to handle the case of diffusion problems with moving boundaries. One possible application of this extension, the modeling of the growth of a dendritic crystal, is described.
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