Deriving the Heat Equation: A Parabolic Partial Differential Equation for Heat Energy Conservation

In this video we will derive the heat equation, which is a canonical partial differential equation (PDE) in mathematical physics.    

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This video was produced at the University of Washington

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0:00 Overview
3:02 Statement in Words
6:52 Statement in Math
10:30 Heat Flux
16:00 Fourier's Law of Heat Conduction
18:54 The Heat Equation