A ninth-order iterative method for nonlinear equations along with polynomiography

WAQAS NAZEER; ABDUL RAUF NIZAMI; MUHAMMAD TANVEER; IRUM SARFRAZ

Author(s)

WAQAS NAZEER Division of Science and Technology, University of Education,Lahore,Pakistan

ABDUL RAUF NIZAMI Abdus Salam School of Mathematical Sciences, GC University, Lahore-Pakistan.

MUHAMMAD TANVEER Department of Mathematics and Statistics, The University of Lahore,Lahore-,Pakistan

IRUM SARFRAZ Department of Mathematics, Lahore Leads University,Lahore-,Pakistan

Abstract

In this paper, we suggest a new ninth order predictor-corrector iterative method to solve nonlinear equations. It is also shown that this new iterative method has convergence of order nine and has efficiency index 1:7321. Moreover, some examples are given to check its validity and efficiency. Finally, we present polynomiographs for some complex polynomials via our new method.

Publication Details

Page(s) 41-55

DOI DOI not available

Published Journal: Journal of Prime Research in Mathematics, Volume: 13, Issue: 1, Year: 2017

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Keywords

Nonlinear equation, Iterative Method, AMS SUBJECT, polynomiography, 37F50

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