1-Calculate a finite-difference solution of the equation au a'u at dx² U=Sin(x) when t=0 for 0≤x≤ 1, U = 0 at x = 0 and
Posted: Wed Jul 06, 2022 12:04 pm
- 1 Calculate A Finite Difference Solution Of The Equation Au A U At Dx U Sin X When T 0 For 0 X 1 U 0 At X 0 And 1 (70.89 KiB) Viewed 13 times
1-Calculate a finite-difference solution of the equation au a'u at dx² 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 dx = 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, t> 0,