how to solve system of PDEs?

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Shahrzad Daghighi
Shahrzad Daghighi 2022-11-11
评论： Torsten 2022-11-21
Hello Everyone,
I need to solve a system of PDEs as follows.
Eq1:
Eq2:
where i=1:10. In other words, they are known functions of x and y.
M and N are unknown functions of x and y.
I would appreciate it if you could help me with solving this system of PDEs.
Thank you!
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Shahrzad Daghighi
Shahrzad Daghighi 2022-11-20
@Torsten thank you for your answer.
are trigonometric functions.
The domain is described by x and y where both vary from 0 to 90.
Equations represent the governing equation for a structural problem. Unfortunately, for this specific expression, there is not any literature.
I'm not sure how to choose the boundary conditions.
More precisely, how many BCs are needed to solve this system of PDE? Can I use the BCs on both unknown functons (M and N) and their first derivatives ()?
Thank you very much for your time.
Torsten
Torsten 2022-11-21
Study CLAWPACK available here:
https://www.clawpack.org/
This package is especially suited to solve hyperbolic PDEs like the one you defined above.

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回答（1 个）

Bhavana Ravirala
Bhavana Ravirala 2022-11-14
Refer the below documentation which help you in solving the PDE’s
Solve System of PDEs - MATLAB & Simulink (mathworks.com)
Hope this helps!!
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Torsten
Torsten 2022-11-14
There is no second-order derivative in both equations. Thus your link doesn't help in this case.

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