Fractals Generated via Numerical Iteration Method

In this research article, a modified algorithm for the generation of a fractal pattern resulting from the iteration of an algebraic function using the numerical iteration method is presented. This fractal pattern shows the dynamical behavior of the numerical iterations. A nonstandard convergence tes...

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Main Authors: Wadia Faid Hassan Al-shameri, Mohamed El Sayed
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/6/4/196
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author Wadia Faid Hassan Al-shameri
Mohamed El Sayed
author_facet Wadia Faid Hassan Al-shameri
Mohamed El Sayed
author_sort Wadia Faid Hassan Al-shameri
collection DOAJ
description In this research article, a modified algorithm for the generation of a fractal pattern resulting from the iteration of an algebraic function using the numerical iteration method is presented. This fractal pattern shows the dynamical behavior of the numerical iterations. A nonstandard convergence test of the displayable fractal pattern was applied.
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spelling doaj.art-ab7c19f739e14fa5ac93551653e3e2ea2023-11-23T08:15:23ZengMDPI AGFractal and Fractional2504-31102022-03-016419610.3390/fractalfract6040196Fractals Generated via Numerical Iteration MethodWadia Faid Hassan Al-shameri0Mohamed El Sayed1Department of Mathematics, College of Science and Arts, Najran University, Najran 55461, Saudi ArabiaDepartment of Mathematics, College of Science and Arts, Najran University, Najran 55461, Saudi ArabiaIn this research article, a modified algorithm for the generation of a fractal pattern resulting from the iteration of an algebraic function using the numerical iteration method is presented. This fractal pattern shows the dynamical behavior of the numerical iterations. A nonstandard convergence test of the displayable fractal pattern was applied.https://www.mdpi.com/2504-3110/6/4/196fractalsalgorithmsiteration
spellingShingle Wadia Faid Hassan Al-shameri
Mohamed El Sayed
Fractals Generated via Numerical Iteration Method
Fractal and Fractional
fractals
algorithms
iteration
title Fractals Generated via Numerical Iteration Method
title_full Fractals Generated via Numerical Iteration Method
title_fullStr Fractals Generated via Numerical Iteration Method
title_full_unstemmed Fractals Generated via Numerical Iteration Method
title_short Fractals Generated via Numerical Iteration Method
title_sort fractals generated via numerical iteration method
topic fractals
algorithms
iteration
url https://www.mdpi.com/2504-3110/6/4/196
work_keys_str_mv AT wadiafaidhassanalshameri fractalsgeneratedvianumericaliterationmethod
AT mohamedelsayed fractalsgeneratedvianumericaliterationmethod