
Heat equation
Partial differential equation describing the evolution of temperature in a region

Partial differential equation describing the evolution of temperature in a region
The heat equation is a parabolic partial differential equation that occurs in the theory of heat transfer and models the evolution of the temperature of a body through time under simplified assumptions. The theory of the heat equation was first developed by Joseph Fourier in 1822 for the purpose of modeling how a quantity such as heat diffuses through a given region. Since then, the heat equation and its variants have been found to be fundamental in many parts of both pure and applied mathematics.
Read on Wikipedia · Image Oleg Alexandrov, Public domain
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