Question: Show using Fourier analysis that the implicit Cranck-Nicholson scheme ( k) (k) (k+1) (K+1) u - Uj C i-1 - 2u, + Uit1 uj-1 +

Show using Fourier analysis that the implicit Cranck-Nicholson scheme ( k) (k) (k+1) (K+1) u - Uj C i-1 - 2u, + Uit1 uj-1 + = 0, (2) ht 2 is always stable

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