Consider a thin rod of length L with an initial temperature f(x) throughout and whose ends are held at temperature zero for all time t > 0. If the rod shown in FIGURE 13.3.1 satisfies the assumptions given on page 721, then the temperature u(x, t) in the rod is determined from the boundary-value problem
FIGURE 13.3.1 Find the temperature u in a finite rod
(1)
(2)
(3)
In the discussion that follows next we ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month, and much more.
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
Julian F.
Head of Cybersecurity
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.
Addison B.
Field Engineer
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.
Amir M.
Data Platform Tech Lead
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
![A thin finite rod of length L coincides with the x axis on the interval [0, L]. The cross section area at the beginning of the rod is indicated by an arrow and labeled u = 0. The cross section area in the middle of the rod is indicated by an arrow and labeled u(x, t). The cross section area at the end of the rod is indicated by an arrow and labeled u = 0.](/api/v2/epubs/urn:orm:book:9781284206258/files/images/ch13-9781284207972_CH13_FIGF0301.png)
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
(1)