Question: The Manning equation can be written for a rectangular open channel as where Q = flow [m3/s], S 5 slope [m/m], H = depth [m],

The Manning equation can be written for a rectangular open channel as

where Q = flow [m3/s], S 5 slope [m/m], H = depth [m], and n = the Manning roughness coefficient. Develop a fixed-point iteration scheme to solve this equation for H given Q = 5, S = 0.0002, B = 20, and n = 0.03. Prove that your scheme converges for all initial guesses greater than or equal to zero.

VS(BH)S/3 n(B 2H)2/3 0

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