Abstract

An eighth and ninth-order fast convergence iterative structures for determining the solution of nonlinear equations is put forward in this manuscript. The iterative structures are modification of a three-step variants of the Newton method via the use of the divided deference and weight functions. The computational iterative structures possess the advantages that they, do not require evaluation of higher derivative and converge faster than compared iterative structures with same convergence order. The convergence analysis of the iterative structures was established via the method of Taylor series. The computational results obtained with the developed iterative structures are juxtaposed with those obtained from some contemporary existing methods, and they performed better in terms of fast convergence.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.