1-Calculate a finite-difference solution of the equation au au dt dx² U = Sin(x) when t=0 for 0≤x≤1, satisfying the init

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1 Calculate A Finite Difference Solution Of The Equation Au Au Dt Dx U Sin X When T 0 For 0 X 1 Satisfying The Init 1 (67.73 KiB) Viewed 14 times

1-Calculate a finite-difference solution of the equation au au dt dx² U = Sin(x) when t=0 for 0≤x≤1, satisfying the initial condition and the boundary condition = 0<x< 1, t> 0, 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.