AM> Vol.4 No.12, December 2013

Author(s)

Farooq Ahmad, Sajjad Hussain, Sifat Hussain, Arif Rafiq

Centre for Advanced Studies in Pure and Applied Mathematics, B. Z. Uni., Multan, Pakistan.
Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan.
Punjab Higher Education Department, Principal, Govt. Degree College Darya Khan, Bhakkar, Pakistan.

In the paper [1], authors have suggested and analyzed a predictor-corrector Halley method for solving nonlinear equations. In this paper, we modified this method by using the finite difference scheme, which had a quantic convergence. We have compared this modified Halley method with some other iterative methods of ninth order, which shows that this new proposed method is a robust one. Some examples are given to illustrate the efficiency and the performance of this new method.

Halley Method; Jarratt Method; Iterative Methods; Convergence Order; Numerical Examples

Ahmad, F. , Hussain, S. , Hussain, S. and Rafiq, A. (2013) New Ninth Order J-Halley Method for Solving Nonlinear Equations. Applied Mathematics, 4, 1709-1713. doi: 10.4236/am.2013.412233.