New two-step predictor-corrector method with ninth order convergence for solving nonlinear equations
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 4, Issue 2
Abstract
In this paper, we suggest and analyze a new two-step predictor-corrector type iterative method for solving nonlinear equations of the type. This method based on a Halley and Householder iterative method and using predictor corrector technique. The convergence analysis of our method is discussed. It is established that the new method has convergence order nine. Numerical tests show that the new methods are comparable with the well known existing methods and gives better results.
Authors and Affiliations
Mohamed Sebak Bahgat, M. A. Hafiz
Keywords
Related Articles
- EP ID EP651227
- DOI 10.24297/jam.v4i2.2494
- Views 162
- Downloads 0
Generalized closed sets in ditopological texture spaces with application in rough set theory
In this paper, the counterparts of generalized open (g-open) and generalized closed (g-closed) sets for ditopological texture spaces are introduced and some of their characterizations are obtained. Some characterizations...
The First Triangular Representation of The Symmetric Groups over a field K of characteristic pdivides (n-2)
In this paper we will study the new type of triangular representations of the symmetric groups which is called the first triangular representations of the symmetric groups over a field K of characteristic pdivides(n-2).
New Oscillation Criteria for Second Order Neutral Type Dierence Equations
In this paper, we present some new oscillation criteria for second order neutral type dierence equation of the form (an(zn)) + qnf(xn) = en; n n0 > 0; where zn = xn ô€€€pnxnô€€€l and is ratio of odd positive integer...
Coincidence and common fixed points of Greguš type weakly biased mappings
In this note, common fixed point theorem of compatible mappings of type(A) due to Murthy et al.[ P. P. Murthy, Y. J. Cho and B. Fisher, Common fixed points of Gregu type mappings, Glasnik Maematicki, Vol.30(50), (1...
Investigation of Triangle Element Analysis for the Solutions of 2D Poisson Equations via AOR method
In earlier studies of iterative approaches, the accelerated over relaxation (AOR) method has been pointed out to be much faster as compared to the existing successive over re- laxation (SOR) and Gauss Seidel (GS) methods...