1-Calculate a finite-difference solution of the equation au a'u ôt ax² U = Sin(x) when t=0 for 0≤x≤1, U = 0 at x = 0 and
Posted: Wed Jul 06, 2022 12:03 pm
1-Calculate a finite-difference solution of the equation au a'u ôt ax² 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 6x=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,