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