光谱配位法在分数扩散-反作用系统动态综合稳定性分析中的应用

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2025-04-08 DOI:10.1007/s10773-025-05961-3

Shuo Li, Sami Ullah Khan, Emad A. A. Ismail, Fuad A. Awwad, Jiamin Yu, Wojciech Sumelka

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引用次数: 0

摘要

在本研究中，我们使用 Legendre 频谱配位法来分析分数扩散反应方程系统的稳定性，因为该方法能够模拟各种具有不规则扩散特性的生物和物理过程。研究发现，理解此类系统的长期行为需要对稳定性分析进行研究。通过数学技术对稳定性标准进行严格分析。这是在使用 Legendre 频谱配位法对方程进行离散化之后完成的。为了预测系统动力学和创建数值算法，我们的研究结果为分数扩散反应系统的稳定性分析行为提供了启示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Application of Spectral Collocation Method to Dynamic Comprehensive Stability Analysis of Fractional Diffusion-Reaction System

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.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.