You are required to solve the parabolic equation for U(x,t) au ax au +bU =c+ dt...

   

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You are required to solve the parabolic equation for U(x,t) au ax au +bU =c+ dt 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)%3D0. 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 Uin the following table, giving your answers to 4 decimal places exactly (no more and no less) i=0 i=1 i=2 i=3 j=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 You are required to solve the parabolic equation for U(x,t) au ax au +bU =c+ dt 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)%3D0. 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 Uin the following table, giving your answers to 4 decimal places exactly (no more and no less) i=0 i=1 i=2 i=3 j=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