KnowraHeat equationLinked fromLinked fromThe 43 pages that link to Heat equation, each with the reason it gives.All 43Broader topic 11Related 25Narrower topic 1Compared with 6Heat transferBroader topic: It models how conduction spreads temperature through a material.Differential equationBroader topic: It is a canonical model of change distributed through space.Partial differential equationBroader topic: Its smoothing evolution is the standard example of a parabolic PDE.Initial-value problemBroader topic: Its future temperature field is determined by an initial temperature distribution.Green's functionBroader topic: Its heat kernel gives the response to an instantaneous point injection.Linear differential equationBroader topic: It is a central linear partial differential equation for diffusion.Diffusion equationBroader topic: It is the diffusion equation applied to temperature, with thermal diffusivity as its coefficient.Parabolic partial differential equationBroader topic: It is the canonical linear example of parabolic evolution.Lax equivalence theoremBroader topic: Finite-difference approximations to this evolution equation are commonly analyzed using the theorem.Method of linesBroader topic: Spatial discretization yields diffusion ODE systems commonly advanced by this approach.Numerical methods for partial differential equationsBroader topic: It is a standard test case for time-dependent parabolic solvers.