Exact(32)
However, the whole viscosity iteration is much more general than the iterative equation (2.1).
If one knows dimensionless upstream depth, one can obtain dimensionless downstream depth by using iterative equation.
Iterative equation for downstream depth was developed by suitable mathematical transformation on the momentum equation.
Recently, there have been a lots of results about the polynomial-like iterative equation.
An important form of iterative equations is the polynomial-like iterative equation (1.1).
We study continuous solutions of the 3rd-order iterative equation of the linear dependence for hyperbolic cases and generalize the results to the n th-order polynomial-like iterative equation, in some cases recursively.
Similar(28)
The Eom method's two iterative equations are as follows.
In [16, 17], the c.d.f is expressed in the form of iterative equations.
Various well-known examples are implemented, with the capability of the users inserting their own ODE or iterative equations.
Before we solve iterative equations (20), (21), and (22) for each r = 0, 1, 2, … , we take the following preliminary steps.
Consequently, we replace the transformation p = f ′ and equations (15), (16), and (10) with the iterative equations f r + 1 ′ = p r, (35).
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