Abstract
A class of three‐point methods for solving nonlinear equations of eighth order is constructed. These methods are developed by combining two‐point Ostrowski′s fourth‐order methods and a modified Newton′s method in the third step, obtained by a suitable approximation of the first derivative using the product of three weight functions. The proposed three‐step methods have order eight costing only four function evaluations, which supports the Kung‐Traub conjecture on the optimal order of convergence. Two numerical examples for various weight functions are given to demonstrate very fast convergence and high computational efficiency of the proposed multipoint methods.
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 callDisclaimer: 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.
