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

Authors

  • 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.

Keywords:

Nonlinear equation, iterative method, polynomiography

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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Published

2017-12-31

Issue

Vol. 13 No. 1 (2017): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

A ninth-order iterative method for nonlinear equations along with polynomiography. (2017). Journal of Prime Research in Mathematics, 13(1), 41 – 55. https://jprm.sms.edu.pk/index.php/jprm/article/view/131