Title
Application of Spectral Collocation Method to Dynamic Comprehensive Stability Analysis of Fractional Diffusion-Reaction System
Authors
[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee
Scientific discipline (Law 2.0)
Year of publication
2025
Published in
Article type
scientific article
Publication language
english
Keywords
EN
- Fractional diffusion-reaction equations
- Spectral method
- Stability and quantitative analysis
- Fractional calculus
Abstract
EN In this study, we use the Legendre spectral collocation method to analyze the stability of a system of fractional diffusion-reaction equations, due to its capacity to simulate a variety of biological and physical processes with irregular diffusion properties. It causes that understanding such systems’ long-term behavior requires a study of stability analysis. The stability criteria are rigorously analyzed through mathematical techniques. This is done after discretizing the equations using the Legendre spectral collocation method. With the intention of predicting system dynamics and creating numerical algorithms, our findings offer discernment into the behavior of stability analysis for fractional diffusion-reaction systems.
Date of online publication
08.04.2025
Pages (from - to)
104-1 - 104-25
Comments
Article Number: 104
Ministry points / journal
40
Impact Factor
1,3 [List 2023]
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