归一化时间分数Fisher方程的计算分析

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-03-08 DOI:10.1016/j.aml.2025.109542

Soobin Kwak , Yunjae Nam , Seungyoon Kang , Junseok Kim

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引用次数: 0

摘要

本研究提出了一个标准化的时间分数费雪方程，以解决与传统的时间分数导数相关的尺度不一致。采用有限差分格式对方程进行了数值求解。通过计算实验研究了分数阶对系统动力学的影响。数值结果显示了记忆效应对解演化的影响，并突出了所提出的归一化方法在分数阶模型中的优势。

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Computational analysis of a normalized time-fractional Fisher equation

This study presents a normalized time-fractional Fisher equation to resolve scaling inconsistencies associated with conventional time-fractional derivatives. A finite difference scheme is applied to numerically solve the equation. Computational experiments are conducted to investigate the impact of the fractional order on the system’s dynamics. The numerical results demonstrate the influence of memory effects on the solution’s evolution and highlight the advantages of the proposed normalization approach for fractional-order models.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.