Q$.1.$

Use any appropriate numerical method to solve for the unknown steady$-$state temperatures of the inner nodes of the heated plate in the figure shown below with the given boundary conditions. Use an overrelaxation factor of $1\mathrm{.}55$ and perform three $(3)$ iterations. At the end of the third iteration, calculate and identify the maximum percentage error of all the computed node temperatures. The heated plate dimensions are $16cm9cm$ and the thermal conductivity $K^{\text{'}}=0\mathrm{.}485ca\frac{l}{s.cm.C}.$ Sketch a new domain and map the interior node temperatures in that domain.

$($Note: Use and show all the units throughout the solution. Show all the steps in detail$)$

$[10$ points$]$