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 157
- Downloads 0
Best Points Selection Procedure for Estimating Location and Scatter in Multivate Data with Application to Discriminant Analysisari
Multivariate data analysis is rely on the two measures namely location and scatter. The most widely used such estimators; sample mean and covariance matrix are extremely sensitive to outliers, then the results obtained w...
Skew Injective Modules Relative to Torsion Theories
The purpose of this paper is to extend results about skew injective modules to a torsion theoretic setting. Given ahereditary torsion theory t a module M is called t-skew injective if all endomorphisms of t -dense submod...
On Properties of UBAC Class of Life Distributions
Some properties of the used better than aged in convex ordering( UBAC) class of life distributions are given. These properties include moment inequalities and moment generating functions behavior. Nonparametric...
The Classification of Permutation Groups with Maximum Orbits
Let G be a permutation group on a set with no fixed points in and let m be a positive integer. If no element of G moves any subset of by more than m points (that is, if for every and g 2 G), and the lengths two of orbits...
MODELLING NIGERIA POPULATION GROWTH RATE
Thomas Robert Malthus Theory of population highlighted the potential dangers of over population. He stated that while the populations of the world wouldincrease in geometric proportions, the food resources available for...