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

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1 Calculate A Finite Difference Solution Of The Equation Au A U Ot Ax U Sin X When T 0 For 0 X 1 U 0 At X 0 And 1 (67.82 KiB) Viewed 13 times

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,