Kirkuk Journal of Science

Kirkuk Journal of Science

Finite Basin's Area Fractal via Complex Newton's Method

Author
Abstract
In this study, we explain that when we applied Newton’s method on , the basins of roots have finite area when , where and . Using MATLAB we obtained nice fractals in order to prove the finite basins area when . The basins for each root in Julia set is finite area of . If is even means the attracting petals of the fixed points zero and infinity are symmetric about x and y axes.
Keywords

Volume 13, Issue 1
Winter 2018
Page 262-272

  • Receive Date 01 June 2018
  • Revise Date 20 June 2018
  • Accept Date 25 June 2018