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Finite Basin's Area Fractal via Complex Newton's Method | ||
| Kirkuk Journal of Science | ||
| Article 1, Volume 13, Issue 1, 2018, Pages 262-272 PDF (0 K) | ||
| DOI: 10.32894/kujss.2018.143042 | ||
| Author | ||
| Zainab Weli Murad | ||
| 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 | ||
| fixed point; Rational Function; Julia Set; Newton method; Basins; Exponential Function | ||
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