Some new multi-step derivative-free iterative methods for solving nonlinear equations

Shah, Farooq Ahmed; Ul Haq, Ehsan

dc.contributor.author	Shah, Farooq Ahmed	en_US
dc.contributor.author	Ul Haq, Ehsan	en_US
dc.date.accessioned	2020-11-16T13:45:31Z
dc.date.available	2020-11-16T13:45:31Z
dc.date.issued	2020
dc.identifier.citation	Shah, F. A. & Ul Haq, E. (2020). Some new multi-step derivative-free iterative methods for solving nonlinear equations. TWMS Journal of Applied and Engineering Mathematics, 10(4), 951-963.	en_US
dc.identifier.issn	2146-1147
dc.identifier.issn	2587-1013
dc.identifier.uri	https://hdl.handle.net/11729/2894
dc.identifier.uri	http://jaem.isikun.edu.tr/web/index.php/archive/108-vol10no4/606
dc.description.abstract	In this paper, we use the system of coupled equation involving auxiliary function with decomposition technique. We also use finite difference technique to suggest and analyze some new derivative-free iterative methods for solving nonlinear equations. Several examples are given to check the performance of developed methods numerically as well as graphically. This technique can be implemented to suggest a wide class of new derivative-free iterative methods for solving nonlinear equations.	en_US
dc.description.sponsorship	The authors would like to thank anonymous reviewers for their valuable and constructive comments. Authors are also immensely grateful to Mr. Attaullah for sharing his pearls of wisdom with us during the course of writing and completion of this research article. The research of F. A. Shah is supported by Higher Education Commission Pakistan through NRPU No. 5418/Federal/NRPU/R&D/HEC/2016.	en_US
dc.language.iso	eng	en_US
dc.publisher	Işık University Press	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	Iterative methods	en_US
dc.subject	Nonlinear equations	en_US
dc.subject	Convergence	en_US
dc.subject	Steffensen’s method	en_US
dc.subject	Semilocal convergence	en_US
dc.subject	System of nonlinear equations	en_US
dc.subject	Multiple roots	en_US
dc.title	Some new multi-step derivative-free iterative methods for solving nonlinear equations	en_US
dc.type	article	en_US
dc.description.version	Publisher's Version	en_US
dc.relation.journal	TWMS Journal of Applied and Engineering Mathematics	en_US
dc.identifier.volume	10
dc.identifier.issue	4
dc.identifier.startpage	951
dc.identifier.endpage	963
dc.peerreviewed	Yes	en_US
dc.publicationstatus	Published	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı	en_US