2D Boundary Element Method MATLAB Program with Initial Conditions and Execution Results

This MATLAB program implements a two-dimensional Boundary Element Method (BEM) for solving boundary value problems. The code package includes necessary initial conditions and demonstrates sample execution results. Boundary value problems represent a crucial mathematical domain with applications across physics, engineering, and computer science. The implementation utilizes BEM to approximate solutions for these problems, providing practical numerical results through discrete boundary element discretization and integral equation formulations. Mastering this program and its underlying mathematical principles offers significant benefits for computational mathematics applications. Key implementation features include: - Discretization of boundary geometry into finite elements - Formulation of boundary integral equations - Numerical integration techniques for singular integrals - Matrix assembly for linear system construction - Solution of resulting algebraic systems The code demonstrates proper handling of boundary conditions through appropriate Green's function implementations and provides validation through comparative result analysis. Learning this approach enhances understanding of computational methods for partial differential equations and their practical applications in engineering simulations.