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Research Article

Year : 2018 | Volume: 4 | Issue: 1 | Pages: 10-13

Application of New Iterative Method and Adomian Decomposition Method to Hamels Flow Problem

Javed Ali1*, 2

http://dx.doi.org/doi:10.18831/djcivil.org/12018011003

Corresponding author

Javed Ali*

Department of Mathematics & Statistics, Caledonian College of Engineering.

  • 1. Department of Mathematics & Statistics, Caledonian College of Engineering.

Received on: 2017/01/04

Revised on: 2017/07/27

Accepted on: 2017/10/24

Published on: 2017/11/03

Abstract

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.

Keywords

Hamels problem, Nonlinear boundary value problem, NIM, ADM, Incompressible fluid method.