Swatski, Sarah2018-10-012018-10-012014http://hdl.handle.net/11603/11408Many physical phenomena can be described by partial differential equations which can be discretized to form systems of linear equations. We apply the finite difference method to the Poisson equation with homogeneous Dirichlet boundary conditions, which yields a system of linear equations with a large sparse system matrix. We implement pMatlab code which utilizes the conjugate gradient method to solve this system. We do not recommend the use of pMatlab at this time as we find that it is very limited, its implementation is highly complex and the results are inconsistent.10 pagesen-USThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.Parallel ComputingpMatlabFinite Difference MethodConjugate Gradient MethodPoisson EquationUMBC High Performance Computing Facility (HPCF)Text