problem 2 The steady two-dimensional temperature (7) distribution in an isotropic heat conducting materials is given by Laplace equation, = 0 The side lengths of the domain are _=8 and H=6. Assuming consistent units are used, boundary conditions are shown in Figure 2. Use the grid indicated in Figure 2 to solve for the temperature distribution. L =8 T=100 T=40 T=15 T-50 T1 T2 H =6 T=50 T3 TA T=100 T=40 T=20 Figure 2 Finite difference nodal scheme Central finite difference formula f' ( x ) = f ( xth) - f (x - h) 2h f" ( x ) = f ( x+ h) - 2f(x) +f(x-h) h2