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Modeling a pde on matlab

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N G
N G 2024-7-11，1:10
移动：Torsten 2024-7-11，12:19
How do I model the given pde on matlab
  2 个评论
Torsten
Torsten 2024-7-11，8:59
At first, you need a second differential equation because the one above has P and H as unknowns.
N G
N G 2024-7-11，11:35
H is known

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回答（3 个）

Suraj
Suraj 2024-7-11，6:41
You can use the "pdepe" function in MATLAB to solve initial-boundary value problems for systems of PDEs in one spatial variable x and time t.
You can learn more about its usage from the link below,
https://www.mathworks.com/help/matlab/ref/pdepe.html
The following page also has some examples of solving PDEs that you can refer,
https://www.mathworks.com/help/matlab/math/partial-differential-equations.html
  1 个评论
N G
N G 2024-7-11，6:59
I have 2 dependent variables and 2 independent variables, how can I model that?

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Ruchika Parag
Ruchika Parag 2024-7-11，6:48
Hi N G, you can check out the example on this page, which explains how to use a spatial mesh and plot the solution to model a partial differential equation:
https://www.mathworks.com/help/matlab/math/partial-differential-equations.html#:~:text=different%20spatial%20mesh.-,Example%3A%20The%20Heat%20Equation,-Try%20This%20Example
Hope this helps!
Torsten
Torsten 2024-7-11，12:11
移动：Torsten 2024-7-11，12:19
So you have H as a function of x and t. Are you sure about the + sign between the derivatives on the right-hand side ? Then
https://uk.mathworks.com/matlabcentral/fileexchange/38091-2d-laplace-equation
should be a good starting point.
Or use the PDE toolbox.

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