Solve a 1D Heat Conduction equation using pdepe

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Subha Bose
Subha Bose 2015-7-13
评论： Torsten 2019-1-17
Hi,
I've been trying to solve a 1D heat conduction equation with the boundary conditions as: u(0,t) = 0 and u(L,t) = 0, with an initial condition as: u(x,0) = f(x). The only difference between a normal 1D equation and my specific conditions is that I need to plot this vertically, i.e., consider the horizontal rod of length L as a vertical rod of depth D (or L). I have manually solved the heat equation but am not sure how to impose the conditions upon the equation
Any help will be highly appreciated...

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回答（1 个）

Torsten
Torsten 2015-7-13
As far as I know, pdepe does not accept periodic boundary conditions.
Maybe
http://www.mathworks.com/matlabcentral/fileexchange/45955-periodic-reaction-diffusion-pde-solver
is of interest for you.
Best wishes
Torsten.
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Yizhou Du
Yizhou Du 2019-1-16
The similar question.
For the boundry condition T(0,t) = Tg(t) [is the upper boundary condition and, (here, Tg is an instrument-recorded temperature)]
The boundary conditions Tg(t) are not periodic. How can use pdepe to solve it?
Torsten
Torsten 2019-1-17
By setting
pr = ur - Tg(t)
in "pdebc" where Tg(t) is a function that supplies the temperature recorded by your instrument at time t.
Best wishes
Torsten.

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