Eighteenth Order Convergent Method for Solving Non-Linear Equations-Reference-Cited by-同舟云学术

Eighteenth Order Convergent Method for Solving Non-Linear Equations

Published:2017-03-21 Issue:1 Volume:10 Page:144-150
ISSN:0974-6471
Container-title:Oriental journal of computer science and technology
language:
Short-container-title:Orient. J. Chem

Author:

Vatti V.B¹,Sri Ramadevi¹,Mylapalli M.S²

Affiliation:

1. Dept. of Engineering Mathematics, Andhra University, Visakhapatnam, India

2. Dept. of Engineering Mathematics, Gitam University, Visakhapatnam, India

Abstract

In this paper, we suggest and discuss an iterative method for solving nonlinear equations of the type f(x)=0 having eighteenth order convergence. This new technique based on Newton’s method and extrapolated Newton’s method. This method is compared with the existing ones through some numerical examples to exhibit its superiority. AMS Subject Classification: 41A25, 65K05, 65H05.

Publisher

Oriental Scientific Publishing Company

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference15 articles.

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2. CrossRef

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1. Second Derivative Free Eighteenth Order Convergent Method for Solving Non-Linear Equations;Oriental journal of computer science and technology;2017-12-30