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-Just as an idea, the Newton-Raphson method may diverge when lateral_inflow is negative. In this case, I would suggest using discharge_guess as new_discharge (new_discharge = discharge_guess;) since discharge_guess is the solution to the linear discretized version of the kinematic-wave equations.
-The following criterion needs to be satisfied for the convergence of the Newton-Raphson method:
| fq * d2fq| < |dfq|^2
When lateral_inflow < 0, − _known_terms (-C in Chow's book) becomes positive, may lead to a large positive value for fq. This can violate the convergence criteria of the Newton-Raphson method. This issue can be considered in the future to improve the kinematic-wave operator.
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