Definition:Poisson's Differential Equation

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.

Also see

 * Solution to Poisson's Equation


 * Definition:Laplace's Equation