ATANGANA–SEDA NUMERICAL SCHEME FOR LABYRINTH ATTRACTOR WITH NEW DIFFERENTIAL AND INTEGRAL OPERATORS

Author:

ATANGANA ABDON12,İĞRET ARAZ SEDA3

Affiliation:

1. Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, South Africa

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

3. Department of Mathematics Education, Siirt University, Turkey

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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