New Iterative Method of Solving Nonlinear Equations in Fluid Mechanics

Abstract This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics. A numerical analysis was performed find an exact solution wave equation Burgers’ equation, as well approximate KdV Boussinesq equation. Fractional derivatives order α are described using Caputo's definition with 0 < ≤ 1 or 2 . comparative obtained those by Adomian decomposition showed first be more efficient simple, providing accurate fewer computational operations. Given its flexibility ability solve equations, can used complex equations.