4-A long insulated wire was initially at a uniform temperature, then both ends of the wire were suddenly immersed in a cup of hot fluid and kept there. If the dimensionless temperature 0 in the wire is obtained by the solution of the equation: ae %3D at subject to the conditions: ax2 0=0 for 0 0 Employing the Crank-Nichlson method with r 2 and h 0.1; find at time t= 0.02 the following: a- Write the finite difference computational molecule at (i, j+1). b- Display the matrix of coefficients in a simplest form. c- Hence solve these equations employing a suitable direct method. d- If you had employed an explicit scheme, what is the minimum number of time steps you could use for this problem. 120200pg Screenshot 20200 jpg O Sereenshot_20200...jpg O Screenshot 20200.jpg prt sc 144 %23 %24 % 2 3. & 8 01 V. W 1. T