The Poisson equation, a partial differential equation named after mathematician Siméon Denis Poisson, is widely used in physics and engineering to describe various phenomena in electrostatics, heat transfer, and other fields. It involves finding a function that satisfies the Laplace operator (a second-order differential operator) and specified boundary conditions. Numerical methods like the finite difference method and finite element method are employed to solve the Poisson equation, enabling us to understand and predict physical systems governed by it.
