Given the flat plate shown below:

Within Python and using the finite difference method, generate a temperature contour using a $2020$ set of nodes $($including the nodes on the top and left boundaries$).$ Use the nodal equations provided to create a system of equations for the plate. Instead of the plate being $1$ meter by $1$ meter, make the dimensions $20$ meters by $20$ meters, and use a $x$ of $1$ meter. Use a conduction heat transfer coefficient $(k)$ of $10\frac{W}{m^{**}C}$

The average temperature of the plate should be no more than $210$ degrees Celsius. Implement a while loop into your code to iterate by increasing the convection heat transfer coefficient $(h)$ until this average temperature requirement is satisfied. Begin with a convection heat transfer coefficient of $10\frac{W}{m^2{?}^{**}C}$ and increase the heat transfer coefficient by $5$ each iteration.

You may work in groups of either $1$ or $2$ people. Every member of a group should turn in their code as an html file and indicate who was in their group. The final code should show an output of a temperature map, and then the average temperature of the temperature map after iterating.