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Finite Difference Method to find Steady State

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James on 9 Apr 2020
This relates to 1-D unsteady heat conduction using Finite Difference Method (FDM).
I have to solve the following equation, by iterating until the steady state aproaches.
Steady state is basically;
Following data is known. (calculated as an example)
When n=0, T_i^(n+1)=10, 73, 100, 85, 50 respectively at i=1, 2, 3, 4, 5.
When n=1, T_i^(n+1)=10, 62.2, 87.4, 79, 50 respectively at i=1, 2, 3, 4, 5.
How should I approach this? I'd appreciate your recommendations, reading materials, suggestions and/or pointers rather than a complete code at this point.
I know the question is vague but I'd welcome any suggestions for starting points :)
Reference: (I'm assuming the code should be something similar to this)

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