How can I use pdepe to solve a PDE with an integral boundary condition?

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Jessica
Jessica 2013-9-27
回答： Youssef Khmou 2013-9-28
I would like to solve a PDE of the form
du(x,t)/dt = - du/dx - u
with the boundary condition
u(0,t) = int(u(x,t),x0,xf).
Since the usual @bcfun does not have argument u, is this boundary condition possible? If so, how would I formulate it?
Thanks in advance for any help.

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回答（2 个）

Youssef Khmou
Youssef Khmou 2013-9-27
why not solve, first, for u(0,t) for known x0 and xf, using integral or quad or trapz next follow the routine ?
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Jessica
Jessica 2013-9-28
Thanks for the suggestion, Youssef. If I were writing my own PDE solver, I'm sure that I would follow such a scheme. However, I would like to use the PDE solver that is built in to Matlab, pdepe.

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Youssef Khmou
Youssef Khmou 2013-9-28
hi, take a look at the file,

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