Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2017
  • Volume: 36e
  • Issue: 2

A Variant of chebyshev’s method

1Dept. of Engineering Mathematics, Andhra University, Visakhapatnam, India, E-mail: ramadevisri05@yahoo.com

2Dept. of Engineering Mathematics, Andhra University, Visakhapatnam, India, E-mail: drvattivbk@yahoo.co.in

3Dept. of Engineering Mathematics, Gitam University, Visakhapatnam, India, E-mail: maniraj9@yahoo.co.in

*Corresponding Author: V.B. Kumar Vatti, Dept. of Engineering Mathematics, Andhra University, Visakhapatnam, India, E-mail: drvattivbk@yahoo.co.in

Online published on 16 January, 2018.

Abstract

In this paper, we present a new two step iterative method to solve the nonlinear equation f(x) = 0 and discuss about its convergence. Few numerical examples are considered to show the efficiency of the new method in comparison with the other methods considered in this paper.

Keywords

Chebyshev's method, Convergence, Iterative method, Newton's method nonlinear equation