Back close

On complex dynamics of some eighth order techniques for nonlinear equations

Publication Type : Journal Article

Publisher : Advances and Applications in Mathematical Sciences

Source : Advances and Applications in Mathematical Sciences Volume 18, Issue 1, November 2018, Pages 153-167

Url : https://www.proquest.com/openview/3a392da8e368a74fa31606ae93f43daa/1?pq-origsite=gscholar&cbl=2032191

Campus : Chennai

School : School of Engineering

Department : Mathematics

Verified : No

Year : 2018

Abstract : There are many techniques to solve nonlinear equations. These techniques are categorized by the order, informational efficiency and efficiency index. In this work we have taken the criteria, namely basins of attraction for checking the convergence domain of the techniques. This study is also called complex dynamics of iterative methods. We consider several techniques of order eighth and present the basin of attraction for respective examples. We measured that Kung-Traub and Sharma-Kumar techniques are consistently better than others.

Cite this Research Publication : Janak Raj Sharma ,Sunil Kumar "On complex dynamics of some eighth order techniques for nonlinear equations"Advances and Applications in Mathematical Sciences Volume 18, Issue 1, November 2018, Pages 153-167

Admissions Apply Now