Category:Definitions/Poisson's Differential Equation

This category contains definitions related to Poisson's Differential Equation.
Related results can be found in Category:Poisson's Differential Equation.

Poisson's differential equation is a second order PDE of the form:

$\dfrac {\partial^2 \psi} {\partial x^2} + \dfrac {\partial^2 \psi} {\partial y^2} + \dfrac {\partial^2 \psi} {\partial z^2} = \phi$

where $\phi$ is a function which is not identically zero

or:

$\nabla^2 \psi = \phi$

where $\nabla^2$ denotes the Laplacian operator.