#laplaceequation — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #laplaceequation, aggregated by home.social.
-
The #HeatEquation (left) and #LaplaceEquation (right) solved under the same boundary conditions over a square plate. Over time, the solution to the #HeatEquation approaches that of the #LaplaceEquation - in this case, giving the steady-state temperature distribution at each interior point of a square plate whose adjacent edges are held either at 100 degrees C or 0 degrees C (blue shows colder regions; red shows hotter regions; the plate is insulated so that heat does not escape).
#PDEs #math