Please provide detail solution

You are required to solve the parabolic equation for U(x,t): au at +budu= azu ax 2 in the region given by OSXs1, Ost The initial condition and boundary conditions are U(x,0) = ax(1-x), U(0,t) = 0, U(1,t) = 0. where a = 4.681, b =0.129 and c = 0.7217. You should use a step length of h = 0.2 for x, and k = 0.02 for t. You should calculate U for 3 time steps using an explicit scheme with a central difference estimate for the x derivative.. Enter the initial conditions for U in the following table, giving your answers to 4 decimal places exactly (no more and no less) i=0 i=1 i=2 i=3 i=4 i=5 j=0 Enter your estimates for U(ih,jk) in the following table, again giving your answers to 4 decimal places exactly i=0 i=1 i=2 i=3 i=4 i=5 j=1 j=2 j=3