Author(s)

Muhammad Saqib¹, Muhammad Iqbal¹, Shahid Ali¹, Tariq Ismaeel^2,3

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

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.

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

Saqib, M. , Iqbal, M. , Ali, S. and 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.