A ninth-order iterative method for nonlinear equations along with polynomiography | [Journal of Prime Research in Mathematics • 2017]

Author(s):

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

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

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

4. 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.

Page(s): 41-55

DOI: DOI not available

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

Keywords:

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

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