How can I solve simultaneous PDEs using pdepe?

10 visualizaciones (últimos 30 días)
Shrishti
Shrishti el 8 de Oct. de 2013
Editada: Hashim el 14 de Jul. de 2022
I have a set of two pdes that are interlinked. How do I use pdepe to solve the two equations simultaneously?

Respuesta aceptada

Jie
Jie el 8 de Oct. de 2013
I'm afraid matlab may not be able to solve coupled(interlinked) PDEs with its own pdepe function. I used that one before. However, you could always do it yourself if you could apply some numercial methods and encode yourself with soooo powerful matlab. I'd like to recommend you a software call COMSOL. It was a matlab pde toolblx and later seperated from matlab and it is dedigned to solve coupled PDEs.

Más respuestas (2)

Bill Greene
Bill Greene el 8 de Oct. de 2013
By "two pdes that are interlinked" do you mean that you have two PDE and two dependent variables, say, u1 and u2?
If so, pdepe can definitely solve systems of this type. Take a look at example 2 on this page:
pdepe can handle systems with any reasonable number of partial differential equations.
If you have a different type of PDE system in mind, please provide more information and we may be able to point you in the right direction.
Bill

Jacob
Jacob el 5 de Jun. de 2014
Editada: Jacob el 5 de Jun. de 2014
I have a similar question (I think).
Can the pdepe tool solve coupled pde's?
The example on the link you sent has a vector of coefficients for the f function that depend on DuDx. Can I enter Du(1)Dx and Du(2)Dx? Below is the general form of the equations:
Thanks in advance!
d(u1)/dt = d/dx (d(u1)/dx - d(u2)/dx))
d(u2)/dt = d/dx (d(u2)/dx - d(u2)/dx))
  2 comentarios
Hashim
Hashim el 15 de Abr. de 2021
Editada: Hashim el 14 de Jul. de 2022
I know Its quite a bit late but for anybody reading yes it is possible to solve coupled pdes using pdepe.
Kurotamunoye Keribo
Kurotamunoye Keribo el 28 de Jun. de 2021
Please I need the steps, thanks

Iniciar sesión para comentar.

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by