A parabolic equation: the heat equation
Introduction to linear partial differential equations

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A parabolic equation: the heat equation
Introduction to linear partial differential equations

Author : Gérard DEBEAUMARCHÉ

Publication date: October 10, 1999 | Lire en français

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3. A parabolic equation: the heat equation

3.1 Heat equation in dimension 1

It is the following partial differential equation: ∂u∂t=γc∂2u∂x2.

The constants c and γ denote the thermal capacity and conductivity of a bar, and u (x, t ) indicates the temperature at the bar's x-axis point at time t.

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