Higher-order iterative methods by using Householder's method for solving certain nonlinear equations

In this paper, we suggest and analyze some new higher-order iterative methods by using Householder's method free from second derivative for solving nonlinear equations. Here we use new and different technique for implementation of higher-order derivative of the function and derive new higherord...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical Sciences Letters 2013-05, Vol.2 (2), p.107-120
Main Authors: Khan, Waseem Asghar, Noor, Muhammad Aslam, Rauf, Adnan
Format: Article
Language:English
Subjects:
Derivatives
Iterative methods
Mathematical analysis
Mathematical models
Nonlinear equations
Performance indices
Predictor-corrector methods
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we suggest and analyze some new higher-order iterative methods by using Householder's method free from second derivative for solving nonlinear equations. Here we use new and different technique for implementation of higher-order derivative of the function and derive new higherorder predictor-corrector iterative methods free from second derivative. The efficiency index equals to 9 super( 1/5) approximately 1.552. Several numerical examples are given to illustrate the efficiency and performance of these new methods.
ISSN:2090-9616
2090-9624
DOI:10.12785/msl/020205