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Simulation of coupled partial differential equation using MATLAB.

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I am trying to simulate a model for cake baking using a coupled mass and heat transfer system. The equations are as given in the attachment.
I need to find out profile for Temperature and moisture content(X). Please suggest a method which I can use. If you have any code which can be used, it would be of great help if you can give me that too.

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Bill Greene
Bill Greene el 16 de Jun. de 2014
I took a look at your attachment and think I understand most, but not all, of the problem you are trying to solve (I don't understand the convection term in the PDE, for example).
My first thought was that you could use the pdepe function because it appears you have only one spatial variable, x. However, you have a non-diagonal "mass" matrix which pdepe can not handle.
I think that PDE Toolbox,
can probably solve this. You might want to start with this example:
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Bosnian Kingdom
Bosnian Kingdom el 2 de Jun. de 2019
Editada: Bosnian Kingdom el 2 de Jun. de 2019
Hello, can you post your code here, or can you send me on private massage or e-mail. I really need example of solution two or more partial differential equation? I am working on phd thesis and I stucked witl solving partial differential equations.
Thanks in advance.
Tanisha Raturi
Tanisha Raturi el 27 de Oct. de 2021
Hello @Bosnian Kingdom, were you able to solve what you were doing? I am working on a problem that requires solving two partial differential equations, can you help me understand how should I do that?

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