TITLE:
New Fourth and Fifth-Order Iterative Methods for Solving Nonlinear Equations
AUTHORS:
Muhammad Saqib, Muhammad Iqbal, Shahid Ali, Tariq Ismaeel
KEYWORDS:
Iterative Methods, Homotopy Perturbation Technique, Order of Convergence, Nonlinear Equations
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.8,
July
14,
2015
ABSTRACT: In this paper, we establish two new iterative methods of order four and five by using modified homotopy perturbation technique. We also present the convergence analysis of these iterative methods. To assess the validity and performance of these iterative methods, we have applied to solve some nonlinear problems.