Category:Heat Equation

This category contains results about Heat Equation.
Definitions specific to this category can be found in Definitions/Heat Equation.

The heat equation is a second order partial differential equation which models the flow of heat in a body.

For a $3$-dimensional body, the equation for the temperature $w$ at time $t$ and position $\tuple {x, y, z}$, it is of the form:

$a^2 \paren {\dfrac {\partial^2 w} {\partial x^2} + \dfrac {\partial^2 w} {\partial y^2} + \dfrac {\partial^2 w} {\partial z^2} } = \dfrac {\partial w} {\partial t}$