I am especially interested in the possibility of using pdepe for solving this problem.
PDE with time-dependent boundary conditions
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Peter Nave
am 28 Aug. 2020
Kommentiert: Peter Nave
am 1 Sep. 2020
Can anybody give hints how to solve the attached problem?
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Bill Greene
am 1 Sep. 2020
I do not believe it is possible to solve this problem with pdepe.
However I have written a one-dimensional PDE solver which is similar to
pdepe (similar syntax and runs in MATLAB)
but contains some enhancements including the capability to couple a
set of ODE with the set of PDE. These ODE can be used, for example, to model
the two reservoirs at the ends of your diffusion region.
I have also tried to create a rough example that is similar to yours.
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