Need matlab code for the above problem using finite difference method for a boundry value problem.

4). Cooling fins are often welded to objects in which heat is generated to conduct the heat away, thus controlling the temperature. If the fin loses heat by radiation to the surrounding the rate of heat loss from the fin is proportional to the difference in fourth powers of the fin temperature and the surrounding, both measured in absolute degree. The equation reduces to dr2 = ku' -14) where u is the fin temperature, T is the surroundings temperature, and is the distance along the fin. k is constant. For a fin of given length L, this is not difficult to solve numerically if u(0) and u(L) are known. Solve for u(x), the distribution of temperature along the fin, if T = 300, u(0) = 450 and u(20) = 350, k = 0.23, utilizing finite difference method for a boundary value problem. Use a value for h small enough to get temperature accurate to 0.1 degree. 4). Cooling fins are often welded to objects in which heat is generated to conduct the heat away, thus controlling the temperature. If the fin loses heat by radiation to the surrounding the rate of heat loss from the fin is proportional to the difference in fourth powers of the fin temperature and the surrounding, both measured in absolute degree. The equation reduces to dr2 = ku' -14) where u is the fin temperature, T is the surroundings temperature, and is the distance along the fin. k is constant. For a fin of given length L, this is not difficult to solve numerically if u(0) and u(L) are known. Solve for u(x), the distribution of temperature along the fin, if T = 300, u(0) = 450 and u(20) = 350, k = 0.23, utilizing finite difference method for a boundary value problem. Use a value for h small enough to get temperature accurate to 0.1 degree