dc.contributor.author |
Owolabi, Kolade |
|
dc.contributor.author |
Karaağaç, Berat |
|
dc.date.accessioned |
2025-09-29T10:55:45Z |
|
dc.date.available |
2025-09-29T10:55:45Z |
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dc.date.issued |
2020 |
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dc.identifier.issn |
0960-0779 |
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dc.identifier.uri |
http://dspace.adiyaman.edu.tr:8080/xmlui/handle/20.500.12414/6731 |
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dc.description.abstract |
This paper focuses on the design and analysis of an efficient numerical method based on the novel implicit finite difference scheme for the solution of the dynamics of reaction-diffusion models. The work replaces the integer first order derivative in time with the Caputo fractional derivative operator. The dynamics of activator-inhibitor as encountered in chemistry, physics and engineering processes, and predator-prey models are two cases addresses in this study. In order to provide a good guidelines on the correct choice of parameters for the numerical simulation of full fractional reaction-diffusion system, its linear stability analysis is also examined. The resulting scheme is applied to solve cross-diffusion problem in two-dimensions. In the experimental results, a number of spatiotemporal and chaotic patterns that are related to Turing pattern are observed. It was discovered in the simulation experiments that the species predator-prey model distribute in almost same fashion, while that of the activator-inhibitor dynamics behaved differently regardless of the value of fractional order chosen. (C) 2020 Elsevier Ltd. All rights reserved. |
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dc.language.iso |
en |
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dc.publisher |
PERGAMON-ELSEVIER SCIENCE LTD |
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dc.subject |
Activator-inhibitor model |
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dc.subject |
Caputo fractional derivative |
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dc.subject |
Predator-prey system |
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dc.subject |
Chaotic and spatiotemporal patterns |
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dc.subject |
Numerical simulations |
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dc.title |
Chaotic and spatiotemporal oscillations in fractional reaction-diffusion system |
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dc.type |
Article |
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dc.contributor.authorID |
0000-0001-9290-3458 |
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dc.contributor.authorID |
0000-0002-6020-3243 |
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dc.contributor.department |
Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City |
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dc.contributor.department |
Fed Univ Technol Akure, Dept Math Sci |
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dc.contributor.department |
Univ Free State, Inst Groundwater Studies, Fac Nat & Agr Sci |
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dc.contributor.department |
Adiyaman Univ, Dept Math Educ, Fac Educ |
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dc.identifier.volume |
141 |
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dc.source.title |
CHAOS SOLITONS & FRACTALS |
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