The heat equation is a partial differential equation of the form
where Δ denotes the Laplacian. When there is only one spatial dimension being considered, the heat equation takes the form
The heat equation is so called because it was studied by Joseph Fourier as a way of describing the way heat spreads over time. The heat equation can also be used to describe other processes such as diffusion.
|Some content on this page may previously have appeared on Citizendium.|