A square plate divided in 100 squares or nodes by a grid. the temperature of the nodes form a two-dimensional array T*[j] .the temperature in all nodes at the edge of the plate is constrained to be 20*C by a cooling system, and the temperature and the temperature of the node[3][8] is fixed at 100*C by exposure to boiling water, i.e., T[3][8]=100. A new estimate of the temperature T [j] in any given node can be calculated from the average of the temperatures in all segments surrounding it; T[j]=(T[i+1][j] + T[j+1] + T[j-1])/4.0*

initial temperature assumption in each node is 20*C. find the steady-temperature at[5][5].