1-Calculate a finite-difference solution of the equation au au ôt ox² U = Sin(x) when t=0 for 0≤x≤ 1, U=0 at x = 0 and 1
Posted: Wed Jul 06, 2022 11:45 am
1-Calculate a finite-difference solution of the equation au au ôt ox² U = Sin(x) when t=0 for 0≤x≤ 1, U=0 at x = 0 and 1 for t > 0, i) Using an explicit method with 8x = 0.1 and St=0.001 for two time-steps. ii) Using the Crank-Nikolson equations with dx=0.1 and St=0.001 for two time-steps. satisfying the initial condition and the boundary condition 0<x< 1, 1>0,