Introduction
to the One-Dimensional Heat Equation
Part 2: Changing Initial
Temperature Distribution
We repeat the exploration
of Part 1 for two more initial temperature distributions f(x).
- Using the applet, display the
second initial
temperature distribution, and study snapshots in time of the resulting
temperature distribution. Describe in words how the temperature distribution
changes in time. What is the long-term behavior of the temperature?
- Repeat Step 1 for the third
initial temperature distribution.
- How does the initial temperature
distribution affect the long-term behavior? Does the time evolution of
temperature in the rod correspond with your intuition of what should happen?
Why or why not?
Temperature of the Rod
modules at math.duke.edu
