Conduction - finite difference method

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The discussion revolves around a homework problem related to the finite difference method for conduction. The original poster is confused about their solution, as they believe their first approach is correct, but the system indicates otherwise. An instructor's comment suggests that the temperatures used may not be derived from the finite difference equations, leading to further confusion. The poster seeks clarification on how to properly approach the problem. Overall, the thread highlights the challenges of applying the finite difference method in solving conduction problems.
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Homework Statement


6BB605E5-3BBB-4CA0-AADE-414022EA84B9.png


Homework Equations


Finite difference method

The Attempt at a Solution


36D8F330-C4B5-451E-92CE-8059FD0FD165.png

6C9774F5-7878-48B0-9A0D-F03FEEF0C72B.jpeg

I have tried two different approaches, but still i am wrong in the question. Can anyone guide me how to attempt this question?
Thank you
 

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The first approach gets the right answer. Why are you saying that it's wrong?
 
Chestermiller said:
The first approach gets the right answer. Why are you saying that it's wrong?
The system says I am wrong (ref: first screenshot in #1), and the following is what my instructor says:
"Are these temperatures computed by you, by solving the finite difference equations ? If these are given in the problem, these are for input data corresponding to the case of delta x = delta y."
I have no clue in understanding how should I do it...
Thank you.
 
Sorry. I have no idea what he's getting at.
 

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