THERE IS A SIMILAR QUESTION ON CHEGG, HOWEVER, PLEASE DO NOT JUST COPY AND PASTE THE WORKING OUT FROM THAT QUESTION TO ANSWER THIS. PLEASE ATTEMPT THIS QUESTION.

You are required to solve the parabolic equation for U(x,t): au au 22u +bU =c+ ax at in the region given by 05x31, Ost The initial condition and boundary conditions are U(x,0) = ax(1-x), 0(0,t)=0, U(1,t)=0. where a=3.683, b=0.1319 and c=0.6829. You should use a step length of h = 0.2 for x, and k = 0.02 for t. You should calculate Ufor 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=1 i=2 i=3 i=4 i=5 i=0 j=0 Enter your estimates for U(ih,jk) in the following table, again giving your answers to 4 decimal places exactly i=1 i=2 i=3 i=4 i=5 i=0 j=1 j=2 j=3 H You are required to solve the parabolic equation for U(x,t): au au 22u +bU =c+ ax at in the region given by 05x31, Ost The initial condition and boundary conditions are U(x,0) = ax(1-x), 0(0,t)=0, U(1,t)=0. where a=3.683, b=0.1319 and c=0.6829. You should use a step length of h = 0.2 for x, and k = 0.02 for t. You should calculate Ufor 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=1 i=2 i=3 i=4 i=5 i=0 j=0 Enter your estimates for U(ih,jk) in the following table, again giving your answers to 4 decimal places exactly i=1 i=2 i=3 i=4 i=5 i=0 j=1 j=2 j=3 H