PDEPE, boundary condition problem , how to implement x(1,t)= [integral g(z)x(z,t) from 0 to 1]

Hello

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

Answer 1

[Abhisek Pradhan]

Refer the follwoing link which has couple of examples on how to solve PDEs.

https://in.mathworks.com/help/matlab/math/partial-differential-equations.html