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ATANGANA–SEDA NUMERICAL SCHEME FOR LABYRINTH ATTRACTOR WITH NEW DIFFERENTIAL AND INTEGRAL OPERATORS
Fractals ( IF 3.3 ) Pub Date : 2020-05-06 , DOI: 10.1142/s0218348x20400447
ABDON ATANGANA, SEDA İĞRET ARAZ

In this paper, we present a new numerical scheme for a model involving new mathematical concepts that are of great importance for interpreting and examining real world problems. Firstly, we handle a Labyrinth chaotic problem with fractional operators which include exponential decay, power-law and Mittag-Leffler kernel. Moreover, this problem is solved via Atangana-Seda numerical scheme which is based on Newton polynomial. The accuracy and efficiency of the method can be easily seen with numerical simulations.

中文翻译:

带有新微分和积分算子的迷宫吸引器的 ATANGANA-SEDA 数值方案

在本文中,我们提出了一种新的模型数值方案,该模型涉及新的数学概念,这些概念对于解释和检查现实世界的问题非常重要。首先,我们使用包括指数衰减、幂律和 Mittag-Leffler 核的分数算子来处理迷宫混沌问题。此外,这个问题是通过基于牛顿多项式的 Atangana-Seda 数值方案来解决的。通过数值模拟可以很容易地看出该方法的准确性和效率。
更新日期:2020-05-06
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