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Optimization problem for a time-dependent PDE problem

Posted 12 sept. 2011, 17:43 UTC−4 Version 4.2 0 Replies

Xu Tian
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I have a experimental diffusion profile that I want to fit with a time-dependent PDE model. The model PDE is of simple Fick's second law form
dc/dt-Dd2c/dx2=0
Geometry is 1d, and boundary condition is:
N=N0, at x=0 (N is inward flux)
c=c0, at x=L

I know the experimental data tells me c_measure(x) at annealing time of t=t0, I do not know diffusion profile at other time. Now I would like to find the N0, such that the solution of the above PDE at t=t0 matches the experimental observation.

How should I set up the optimization problem? Thanks a lot!
0 Replies Last Post 12 sept. 2011, 17:43 UTC−4
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Hello Xu Tian

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