AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Networks and Heterogeneous Media Article
PDF (3.9 MB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Exploring fractional dynamics in the fractional-in-time Gierer-Meinhardt reaction-diffusion model with periodic boundary condition

Xinzhi Wang1, Wei Zhang2( )
School of Physics and Electronic Information Engineering, Jining Normal University, Ulanqab, Inner Mongolia 012000, China
Institute of Economics and Management, Jining Normal University, Ulanqab, Inner Mongolia 012000, China
Show Author Information

Abstract

This paper presents a new numerical method for simulating the dynamic behavior of the fractional-in-time Gierer-Meinhardt reaction-diffusion model with periodic boundary conditions. A recursive algorithm for binomial coefficients is introduced, avoiding numerical instabilities associated with Gamma functions. High-precision polynomial expansions and the short-memory principle are employed to enhance efficiency and accuracy. Numerical simulations reveal diverse pattern formation.

Keywords

fractional-in-time Gierer-Meinhardt modelpattern formationnumerical methodshort-memory principle

References

【1】
【1】
 
 
Crossref Google Scholar
Networks and Heterogeneous Media
Volume 21 Issue 1,
March 2026
Pages 55-69
DOI: 10.3934/nhm.2026003

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Wang X, Zhang W. Exploring fractional dynamics in the fractional-in-time Gierer-Meinhardt reaction-diffusion model with periodic boundary condition. Networks and Heterogeneous Media, 2026, 21(1): 55-69. https://doi.org/10.3934/nhm.2026003

29

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 19 August 2025
Revised: 19 December 2025
Accepted: 30 December 2025
Published: 15 March 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)