Modeling of Unsteady Flow through the Canals by Semiexact Method

Figure 10

Three-dimensional plot for the solution of Saint Venant equations via homotopy analysis method obtained (a) 𝑦(𝑥,𝑡) = 𝑦₀ + 𝑦₁ + 𝑦₂ + 𝑦₃ + 𝑦₄ + 𝑦₅ + 𝑦₆ + 𝑦₇ (b) 𝑦(𝑥,𝑡) = 𝑦₀ + 𝑦₁ + 𝑦₂ + 𝑦₃ + 𝑦₄ + 𝑦₅ + 𝑦₆ + 𝑦₇ + 𝑦₈.

(a)

(b)