Poisson's equation Guide, Meaning , Facts, Information and Description

Poisson's equation is the partial differential equation:

Or alternately:

or

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.

See also: Screened Poisson equation

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