USE HERE ONLY C PROGRAMING LANGUAGE

Consider the 1-dimensional heat equation with a source term (f(x, t)) au au a + f(x, t). at ar2 (1) Consider the heat equation as given in (1) that governs the temperature distribution in a rod of length L. The initial temperature is given by u(0,2) = csin(Tx/L). If the end faces of the rod are held at 0, then a solution for the temperature at t > 0, 0 0.5 and do the same as in (a). (d) Compare the results obtained in (a), (b), and (c). What are your observations, explain? Consider the 1-dimensional heat equation with a source term (f(x, t)) au au a + f(x, t). at ar2 (1) Consider the heat equation as given in (1) that governs the temperature distribution in a rod of length L. The initial temperature is given by u(0,2) = csin(Tx/L). If the end faces of the rod are held at 0, then a solution for the temperature at t > 0, 0 0.5 and do the same as in (a). (d) Compare the results obtained in (a), (b), and (c). What are your observations, explain