Modeling a pde on matlab

How do I model the given pde on matlab

[Torsten]

At first, you need a second differential equation because the one above has P and H as unknowns.

[N G]

H is known

Answer 1

[Suraj]

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

[N G]

I have 2 dependent variables and 2 independent variables, how can I model that?

Answer 2

[Ruchika Parag]

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!

Answer 3

[Torsten]

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.