Three iterative methods for solving Jeffery-Hamel flow problem

Abstract EN

In this article, the nonlinear problem of Jeffery-Hamel flow has been solved analytically and numerically by using reliable iterative and numerical methods.

The approximate solutions obtained by using the Daftardar-Jafari method (DJM), Temimi-Ansari method (TAM) and Banach contraction method (BCM).

The obtained solutions are discussed numerically, in comparison with other numerical solutions obtained from the fourth order Runge-Kutta (RK4), Euler and previous analytic methods available in the literature.

In addition, the convergence of the proposed methods is given based on the Banach fixed point theorem.

The results reveal that the presented methods are reliable, effective and applicable to solve other nonlinear problems.

The computational work to evaluate the terms in the iterative processeswascarried out using the computer algebra system MATHEMATICA®10.

Mathematical Subject Classifications (2010):34B15, 65L06, 65D99.