Computational analysis of a normalized time-fractional Fisher equation

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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Abstract

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
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.
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