Heat Conduction Equation

Illustrations

The processes described by the parabolic type equations are not periodic (why?!). Therefore the animation cyclically repeats (with a small pause between sessions).

Uniform Equation

Initial and Boundary Conditions
Initial Conditions
as a Plot
Temperature Distribution
Comments
The temperatures on the ends of the rod are constant (equal to zero). Pay attention to the quick decay of the high-frequency components.
The rod borders are thermally isolated.

Non-uniform Equation

Initial and Boundary Conditions
Initial Conditions
as a Plot
Temperature Distribution
Comments
The temperatures on the ends of the rod are equal to zero. The temperature distribution becomes stationary very quickly.

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© Vadim Zelenkov, 2001