Poisson's Equation

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High Quality Content by WIKIPEDIA articles! In mathematics, Poisson's equation is a partial differential equation with broad ...

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High Quality Content by WIKIPEDIA articles! In mathematics, Poisson's equation is a partial differential equation with broad utility in electrostatics, mechanical engineering and theoretical physics. It is named after the French mathematician, geometer and physicist Siméon-Denis Poisson. The Poisson equation may be solved using a Green's function; a general exposition of the Green's function for the Poisson equation is given in the article on the screened Poisson equation. There are various methods for numerical solution. The relaxation method, an iterative algorithm, is one example.