A New Fifth Order Derivative Free Newton-Type Method for Solving Nonlinear Equations

Authors

Manoj Kumar, Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad-211 004 (U.P.), IndiaFollow
Akhilesh Kumar Singh, Department of Mathematics, Jaypee Institute of Information Technology (Deemed University), Noida-201 304 (U.P.), IndiaFollow
Akanksha Srivastava, Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad-211 004 (U.P.), IndiaFollow

Author Country (or Countries)

India

Abstract

The present paper deals with fifth order convergent Newton-type with and without derivative iterative methods for estimating a simple root of nonlinear equations. The error equations are used to establish the fifth order of convergence of the proposed iterative methods. Finally, various numerical comparisons are made using MATLAB to demonstrate the performence of the developed methods.

Recommended Citation

Kumar, Manoj; Kumar Singh, Akhilesh; and Srivastava, Akanksha (2015) "A New Fifth Order Derivative Free Newton-Type Method for Solving Nonlinear Equations," Applied Mathematics & Information Sciences: Vol. 09: Iss. 3, Article 46.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss3/46