Author(s) Muhammad Saqib¹, Muhammad Iqbal¹, Shahid Ali¹, Tariq Ismaeel^2,3

Affiliation(s)
¹ Department of Mathematics, Lahore Leads University, Lahore, Pakistan.
² Department of Mathematics, GC University, Lahore, Pakistan.
³ School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, China.

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.

Keywords
Iterative Methods, Homotopy Perturbation Technique, Order of Convergence, Nonlinear Equations

Cite this paper
Saqib, M. , Iqbal, M. , Ali, S. , Ismaeel, T. (2015) New Fourth and Fifth-Order Iterative Methods for Solving Nonlinear Equations. Applied Mathematics, 6, 1220-1227. doi: 10.4236/am.2015.68114.

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