Affordable Access

Publisher Website

Newton’s method’s basin of attraction for sign-changing solutions of concave and convex nonlinearities

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
217
Issue
7
Identifiers
DOI: 10.1016/j.amc.2010.08.027
Keywords
  • Newton–Raphson Method
  • Contractor Iteration Method
  • Basin Of Attraction
  • Sign-Changing Solutions
  • Concave And Convex Nonlinearities
Disciplines
  • Computer Science

Abstract

Abstract In this paper, we will illustrate and visualize the chaotic behavior for solving the sign-changing solutions of concave–convex nonlinearities. We propose contractor iteration algorithm and bifurcation method to improve the computation speed and avoid local convergence of Newton–Raphson method. By this method, sign-changing numerical solutions will be computed and visualized in various domains.

There are no comments yet on this publication. Be the first to share your thoughts.