Solve a system of coupled PDEs
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I have a set of equations,
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/668058/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/668063/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/668068/image.png)
Unless specified as functions, the other terms are constant, f is a noise term.
These have boundary conditions given by
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/668073/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/668078/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/668083/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/668088/image.png)
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