(Solved):   I need 2(ii) solutions = - - 2. Consider the following PDE 2T at Ox The initial and ...

 

I need 2(ii) solutions

= - - 2. Consider the following PDE ?? 2²T at Ox² The initial and boundary conditions are T(0,x)=sin(x) T(t,0)=0, T(1,1)=0. i) Use the explicit method to solve the equation at t = 0.1s with step sizes Ar = 0.2 cm and At = 0.05 ii) Use the simple implicit method to generate the tridiagonal system of equations for heat distribution at t = 0.05 s with step sizes Ar = 0.2 cm and t = 0.05. Solve the generated system using the Gauss-Seidel method with the initial guess, 10) = 0. Compute the numerical solutions for the first 2 iterations. 111) Use the Crank-Nicolson method to generate the tridiagonal system of equations for heat distribution at t = 0.05 s with step sizes Ar = 0.2 cm and t = 0.05. Solve the generated system using the Gauss-Seidel method with the initial guess, T0 = 0). Compute the numerical solutions for the first 2 iterations. - = = - - - =