Approximate Ad Hoc Parametric Solutions for Nonlinear First-Order PDEs Governing Two-Dimensional Steady Vector Fields

Figure 3

Solid lines: ad hoc parametric solution (black)—linearized equation (blue). (a) 𝑢₁(×10⁴) versus 𝑥₁, 𝑀=0.7, parabolic shape: 𝑎_𝑝=5×10³, 𝜉₁₀=10; (b) 𝑢₂(×10) versus 𝑥₁, 𝑀=0.7, parabolic shape: 𝑎_𝑝=5×10³, 𝜉₁₀=10.

(a)

(b)