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Article | REF: AF143 V1

Fourier integrals

Author: Hervé QUEFFÉLEC

Publication date: April 10, 1999

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6. Heat equation for an infinite bar

6.1 Problem modeling

Let's consider an unlimited metal bar (!) assimilated to the real straight line and let's call u (x,t ) the temperature of the point of abscissa x at time t, knowing that at time zero the point of abscissa x is brought to temperature h (x).

How will the bar cool down, in other words, how will u (x,t ) evolve? The mathematical modelling...

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