Answer Happy

Question For the problem of a thin, insulated piece of wire with no heat exchange with surroundings except at the two ends. The governing equation for this problem is given as at (x,t) 02T(x,t) -K for 0<x< 10 cm and 0 <t< 12 sec at 22x = with initial condition T(x,0) = 0 °C for t = 0 and 0<x< 10 cm = And boundary conditions = = T(0,t) = 100 °C for x = 0 cm and 0<t<12 T(10,t) = 50 °C for x = 10 cm and 0<t<12 = no heat exchange with surroundings Hot Cool @ t=0, T=0 C along the rod 100 C 50 C = Write the program to find the solution, (x,t), when t 1.0 by using Ax = h = 2 cm and At = k = 0.1 sec when K = 0.835 cm2/sec. = 1) Find the finite difference method formula by applying the Crank-Nicolson's method 2) Applying the formula, obtained 1) to find the solution of this problem, by programing, and plot the graph of T(x, t), when t = 0,4,8, and 12 sec.