Category:Definitions/Laplace's Equation

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

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

$\dfrac {\partial^2 \psi} {\partial x^2} + \dfrac {\partial^2 \psi} {\partial y^2} + \dfrac {\partial^2 \psi} {\partial z^2} = 0$

or:

$\nabla^2 \psi = 0$

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