Abstract
In this article, a modification of Newton's method with fifteenth-order convergence is presented. The modification of Newton's method is based on the method of fifth-order convergence of Hu et al. First, we present theoretical preliminaries of the method. Second, we solve some nonlinear equations and then systems of nonlinear equations obtained by means of the finite element method. In contrast to the eleventh-order M. Raza method, the fifteenth-order method needs less function of evaluation per iteration, but the order of convergence increases by four units. Numerical examples are given to show the efficiency of the proposed method.
Sign-in/Register to access full text options 
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.
