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Solving the Poisson Equation in Cylindrical Coordinates Using MATLAB Code
"Numerical solution of the Poisson equation in cylindrical coordinates requires discretizing the Laplacian operator under axisymmetric or fully 3D conditions, handling coordinate singularities at $r = 0$, and implementing efficient sparse matrix solvers in MATLAB. This guide provides the mathematical formulation, finite difference discretization strategies, complete MATLAB implementation structures, and troubleshooting frameworks for complex engineering and physics simulations. Introduction to the Poisson Equation in Cylindrical Coordinates The Poisson equation is a foundational partial differential equation (PDE) encountered across physics an..."
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