Q$2/$ Determine the steady$-$state internal temperature distribution equations $T$ for the semicircular

region shown in figure below. Use the finite difference mesh and boundary temperatures

indicated. Assume $x=y=1,1=0\mathrm{.}7,{}_2=0\mathrm{.}85,3=0\mathrm{.}9$ and $4=0\mathrm{.}9.$ Investigate the problems which

would be encountered in the finite difference approach if the condition along the curved surface

$\frac{\text{d}\text{e}\text{l}\text{T}}{\text{d}\text{e}\text{l}\text{T}}=0$

were replaced by the

$(14$ dlarks$)$