9.2 Consider the following heat conduction problem in a ID bar with boundary conditions T=0 x=0, t > 0 T=0 x=1, t>0 and initial condition T(x) = 10sin(2TX) 1-0, 0 x 1 Write a MATLAB program to solve this problem numerically using an explicit finite difference scheme by dividing the region 0 3x S 1 into 10 intervals. Solve this problem subject to the following conditions -1, Ar-0. 1, M-0.005 , and compare the solution with the exact solution which is given by T(x,t) 10sin(2x)exp-4n2t) n on the same plot at different times t 0.005, 001, 0.015 and 0.02,0.025 and 0.03 sec. (25 Pts) 9.2 Consider the following heat conduction problem in a ID bar with boundary conditions T=0 x=0, t > 0 T=0 x=1, t>0 and initial condition T(x) = 10sin(2TX) 1-0, 0 x 1 Write a MATLAB program to solve this problem numerically using an explicit finite difference scheme by dividing the region 0 3x S 1 into 10 intervals. Solve this problem subject to the following conditions -1, Ar-0. 1, M-0.005 , and compare the solution with the exact solution which is given by T(x,t) 10sin(2x)exp-4n2t) n on the same plot at different times t 0.005, 001, 0.015 and 0.02,0.025 and 0.03 sec. (25 Pts)