Consider a rectangular steel plate $($k$=15$ W$/$m$.$K$)$ subjected to the boundary conditions illustrated in the following figure. The edge on the right side of the plate is subjected to a convection, where the heat convection coefficient is $150$ W$/$m$2.$K and the temperature of the fluid is $25$C$.$ The width of the sheet is $0\mathrm{.}5$ m and the height is $0\mathrm{.}5$ m$.$ Use a discretization uniform $($x $=$ y$=0\mathrm{.}1$ m$)$ for Finite Difference modeling and determine the temperature distribution on the plate, knowing that it is in a steady state.