How can I solve coupled nonlinear hyperbolic equations?
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I am trying to solve the two coupled bvp equations listed as below:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1214428/image.png)
where γandρ are constants. I don't think pdepe can solve this system as I am having trouble converting it to the appropriate form that is required by pdepe.
My initial conditions can be
and
and my boundary condition can be ![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1214443/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1214433/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1214438/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1214443/image.png)
It would be great if someone can help me solve this!
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Torsten
il 1 Dic 2022
CLAWPACK available under
is an excellent solver for hyperbolic systems of differential equations.
A MATLAB solver for this kind of PDEs is not known to me.
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