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How solve two partial differential equations on two coupled regions with a shared boundary condition?

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Hi,
The mathematical model consists of two PDEs, one for each rectangular region, but they share a Neumann-type boundary condition at the union of both rectangles, the description of the model is as follows:
Region 1, rectangular: ,
PDE 1
Region 2, rectangular: ,
PDE 1
The shared boundary condition between both Partial Differential Equations is at , such a boundary condition is:
at
I have been trying to bind this boundary condition using MATLAB Toolbox "pdetool", but I have not succeeded.
Thank you for your time.
  1 件のコメント
Torsten
Torsten 2023 年 6 月 1 日
First of all, correct the mathematics of your problem: You need two interface conditions at y = R1, not only one.

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