Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625896 | Applied Mathematics and Computation | 2016 | 22 Pages |
Abstract
A class of two-point quartic-order simple-zero finders and their dynamics are investigated in this paper by extending King’s fourth-order family of methods. With the introduction of an error corrector having a weight function dependent on a function-to-function ratio, higher-order convergence is obtained. Through a variety of test equations, numerical experiments strongly support the theory developed in this paper. In addition, relevant dynamics of the proposed methods is successfully explored for a prototype quadratic polynomial as well as parameter spaces and dynamical planes.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Young Hee Geum, Young Ik Kim, Á. Alberto Magreñán,