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Poisson's equation is the partial differential equation:

Or alternately:

i.e., it sets the Laplacian equal to f.

Finding φ for some given f is an important practical problem, since this is the usual way to find the electric potential for a given charge distribution.

There are various methods for numerical solution. The relaxation method, an iterative algorithm, is one example.

Topics: Poisson's Equation Differential Partial Charge Methods Poisson...

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