Mth3006 Lecture 11

• Separation of variables

How Do You Derive the Heat Equation?

Assuming the simplest case for a one-dimensional rod of length $L$:

1. A rod made of a single homogeneous conducting material, e.g. metal.
2. Heat flows only in the $x$-direction, e.g. the rod is laterally insulated.
3. Temperature is constant at all points of a cross-section, e.g. the rod is thin.

… (see lecture notes below)

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