PDE Toolbox Heat Transfer

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Haige
Haige 2024-1-1
回答： Yash 2024-1-8
I am totally new to the Matlab pde toolbox. How can I set the values required in the problem in the interface? Step by step screenshots will be very helpful. Thank you!
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Haige
Haige 2024-1-1
It is still not working.
Torsten
Torsten 2024-1-1
编辑：Torsten 2024-1-1
I think you can only specify constant expressions for f in the GUI.
Take a look at page 2-89 / 2-90 of the pdf document I included to see how to write a function depending on x, y and u to accomplish what you want.

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Yash
Yash 2024-1-8
Hi Haige,
I understand that you are facing issues while using the MATLAB PDE Toolbox. To gain a better understanding of how this toolbox operates, I recommend consulting the documentation available below:
Regarding the first error message you mentioned, it indicates that the dimensions of "sin(2*pi*x)" and "sin(2*pi*y)" are incompatible for direct multiplication, likely because they are both row vectors. To perform element-wise multiplication, you should use the ".*" operator. The corrected expression would be:
100*sin(2*pi*x).*sin(2*pi*y) - (0.01/0.01)*(exp(u*0.01-1))
The second error that you have received is because of "u(1)". The index exceeds the number of elements in "u".
For defining a function that depends on "x", "y", and "u", you can refer to the documentation on specifying coefficients with the "SpecifyCoefficients" function, available at: https://www.mathworks.com/help/pde/ug/f-coefficient-for-specifycoefficients.html
Hope this helps!

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