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The Heat Equation

Friday, September 18th, 2009

How to Solve the Heat Equation

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Description

 

A detailed tutorial on the visual representation of the heat formula. Step by step tutorial including a 3D representation of the heat equation for reference.

 

Overview

 

The heat equation is a partial differential equation that describes the distribution of heat or the variation in temperature.  The heat equation can be expressed as:

\frac{\partial u}{\partial t} -k\left(\frac{\partial^2u}{\partial x^2}+\frac{\partial^2u}{\partial y^2}+\frac{\partial^2u}{\partial z^2}\right)=0

It can also occasionally be expressed as \frac{\partial u}{\partial t} = k \nabla^2 u

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