PART B (25 Marks) The one-dimensional temperature transport equation for pure diffusion is given as: aT at (i) Based on the above equation, write down the Finite Difference Approximation (FDA) with explicit formulation, using forward difference in time and central difference in space for the diffusion term. [2 Marks] (ii) Consider the temperature change for a one-dimensional hypothetical rod of 1 m, where heat is applied at both ends. The boundary conditions are given by: T(x=0,1)=T(x=1,t) =120C T(x, 0)=20C for 0