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Research Article Open access CC BY 3.0

New Iterative Method for Solving the Fornberg-Whitham Equation and Comparison with Homotopy Perturbation Transform Method

Mohamed A. Ramadan, Mohamed S. Al-luhaibi

Journal of Advances in Mathematics and Computer Science · pp. 1213–1227 · Published 25 Feb 2014

10.9734/BJMCS/2014/8534

Abstract

This paper presents an approximate analytical solution of the nonlinear Fornberg-Whitham equation using the new iterative method (NIM). A comparison is made between the NIM results, homotopy perturbation transform method (HPTM) and the Adomian's decomposition method (ADM). The solution procedure reveals that NIM is a reliable, simple and effective. The proposed technique solves nonlinear problems without using Adomian's polynomials and He's polynomials which is a clear advantage of it over the decomposition method. The results reveal that the proposed algorithm is very efficient, simple and can be applied to other nonlinear problems.

New iterative method Homotopy perturbation transform method Nonlinear Fornberg-Whitham equation.

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