Repeat Example 30.1, but use the midpoint method

30.1 Repeat Example 30.1, but use the midpoint method to gener- ate your solution. Problem Statement. Use the explicit method to solve for the temperature distribution of a long, thin rod with a length of 10 cm and the following values: k' = 0.49 cal/(s. cm C), Ax= 2 cm, and At=0.1 s. At t=0, the temperature of the rod is zero and the boundary conditions are fixed for all times at T(0) = 100C and T(10) = 50C. Note that the rod is alu- minum with C = 0.2174 cal/(g. C) and p = 2.7 g/cm. Therefore, k = 0.49/(2.7 0.2174)= 0.835 cm/s and = 0.835(0.1)/(2)2 = 0.020875