The Manning equation can be written for a rectangular open channel as =
√()
5
3
( + 2)
2
3
Where = flow [3
/] , = slope [/] , = depth [] , and = the Manning
roughness coefficient. Develop a fixed-point iteration scheme to solve this equation for
given = 5, = 0.0002, = 20, and = 0.03. Prove that your scheme converges for all
initial guesses greater than or equal to zero.