Modeling of Unsteady Flow through the Canals by Semiexact Method

Figure 9

Three-dimensional plot for the solution of Saint Venant equations via homotopy perturbation method obtained (a) 𝑣(𝑥,𝑡) = 𝑣₀ + 𝑣₁ + 𝑣₂ + 𝑣₃ + 𝑣₄ + 𝑣₅ + 𝑣₆ + 𝑣₇ (b) 𝑣(𝑥,𝑡) = 𝑣₀ + 𝑣₁ + 𝑣₂ + 𝑣₃ + 𝑣₄ + 𝑣₅ + 𝑣₆ + 𝑣₇ + 𝑣₈.

(a)

(b)