Application of New Iterative Method and Adomian Decomposition Method to Hamels Flow Problem
In this work, we solve the Hamel’s Problem using New Iterative Method (NIM) and Adomian Decomposition Method (ADM). This is a third order nonlinear boundary value problem. This problem arises when an incompressible fluid flows outward in a trough between two nonparallel plane walls. Application of these methods to this problem gives excellent numerical results with only three iterations. Moreover, accompanying residuals with these methods is an additional plus point which make these methods self-sufficient.
Hamels problem, Nonlinear boundary value problem, NIM, ADM, Incompressible fluid method.