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

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

Authors: Waqas Nazeer, Abdul Rauf Nizami, Muhammad Tanveer, Irum Sarfraz

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2017

Volume: 1

Issue: 1

Language: English

Keywords: Nonlinear EquationsIterative methodpolynomiography

Categories
Iterative Methods (39) Nonlinear Equations (38) Polynomiography (1) Numerical Analysis (431) Mathematics (5170)

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.

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