Q$2.$ Consider heat conduction in a square slab of length $\text{'}L=1\text{'}$ on each side. The boundary

conditions are given in the figure. Obtain finite difference formulation for steady state

condition and obtain the solution using LSOR method.

$A$: $T=500C,B$: $T=100C,C$:$\frac{\text{d}\text{e}\text{l}\text{T}}{deln}=0,D$:$\frac{\text{d}\text{e}\text{l}\text{T}}{deln}=-5$

$R=$rem$($ last two digit $of$ your roll number, $4)$

$R=0$ : Wall$1=A,$ Wall $=B,$ Wall $3=C,$ Wall $4=D$

$R=1$ : Wall$1=A,$ Wall $=C,$Wall$3=B,$Wall$4=D$

$R=2$ : Wall$1=A,$ Wall $=B,$ Wall $3=D,$ Wall $4=C$

$R=3$ : Wall$1=A,$ Wall $=D,$ Wall $3=B,$ Wall $4=C$