2. (20 pts) Consider the 2D continuous heat transfer model subject to the initial condition u(x,y,0) = g(x,y) and boundary conditions u(z,0,t)- h 1(x, t), u(z,W, t) = h2(x, t), u(0, y, t) = hs(y, t) and u(L, y, t) = hdy, t). Given m, n and (a) Use the finite difference approximations (Ar) and (Ay)2 to derive the 2D discrete heat transfer model ,m-1.j= 1, . . . , n-1, k=0, . . . , mark-1, where F=Le,a=mahand for z = 1,.. , 2. (20 pts) Consider the 2D continuous heat transfer model subject to the initial condition u(x,y,0) = g(x,y) and boundary conditions u(z,0,t)- h 1(x, t), u(z,W, t) = h2(x, t), u(0, y, t) = hs(y, t) and u(L, y, t) = hdy, t). Given m, n and (a) Use the finite difference approximations (Ar) and (Ay)2 to derive the 2D discrete heat transfer model ,m-1.j= 1, . . . , n-1, k=0, . . . , mark-1, where F=Le,a=mahand for z = 1