River

PDF

Equation

Parameters for Equations

R² (%)

y₀

a

b

c

d

x₀

Subarnarekha

Mod Gaussian

$Y=y_0+a{\text{e}}^{0.5{\left(\frac{x-x_0}{b}\right)}^c}$

1.97

1.09

0.52

3.93

1.561

54%

Budha

balanga

Mod damped Sine

$Y=a{\text{e}}^{-\frac{x}{c}}\sin \frac{\text{π}\left(x-x_0\right)}{b}$

1.99

8.96

1.37E6

−0.18

92%

Brahmani

Inverse 3^rd order

$Y=y_0+\frac{a}{x}+\frac{b}{x^2}+\frac{c}{x^3}$

5.24

23.5

139

−114.1

37%

Mahanadi

Damped Sine

$Y=y_{0}a{\text{e}}^{-\frac{x}{d}}\sin \left[\frac{2\text{π}\left(x\right)}{b}+c\right]$

8.69

977

4.16

4.77

0.66

86%