PDEPE, boundary condition problem , how to implement x(1,t)= [integral g(z)x(z,t) from 0 to 1]
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I want to simulate a boundry control of PDE, and the boundry controller is an integral function of the x(z,t):
x(1,t)= [integral of "g(z)*x(z,t)dz" from 0 to1]
which g(z) is a function of spatial.
Could you please let me know how I can implement the above boundry condition with pdepe?
Many thanks in advance