COMPARATIVE STUDY OF SOME ITERATIVE METHODS FOR NONLINEAR EQUATIONS FROM A DYNAMICAL POINT OF VIEW
Main Article Content
Abstract
In this paper, we investigate and compare several optimal fourth and eighth-order iterative methods for solving nonlinear equations, examining their basins of attraction through lower and higher-degree polynomials. The programming package MATLAB is used to plot basins of attraction for each of the iterative method. Through dynamical analysis using basins of attraction, we identify the most stable and effective optimal eighth-order method, which has wider region of convergence in comparison to existing root-finding methods of similar nature.
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
Papers accepted for publication become copyright of the Editorial Office, Journal of Mountain Area Research, Karakoram International University Gilgit, Gilgit-15100, Pakistan and authors will be asked to sign a copyright transfer agreement. Articles cannot be published until a signed copyright transfer agreement form has been received.
The work published in this journal is licensed under a Creative Commons Attribution 4.0 International License.