带加权反应的新型分形-分数反应扩散模型的数值模拟与误差分析

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2024-11-21 DOI:10.1016/j.matcom.2024.11.013

Lihong Zhang , Keke Lu , Bashir Ahmad

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引用次数: 0

摘要

本文研究了一种带有加权反应的新分形-分形反应扩散模型。利用切利什科夫多项式，我们构建了相关的切利什科夫算子矩阵来求解该扩散模型。为了验证我们的方法，我们进行了误差估计。数值示例表明，所提出的方法易于应用，并能产生精确的结果。值得一提的是，分形-分数反应扩散模型和所提出的数值方法为处理与扩散现象相关的问题提供了一种有效的方法。

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Numerical simulation and error analysis for a novel fractal–fractional reaction diffusion model with weighted reaction

A new fractal-fractional reaction diffusion model with weighted reaction is investigated in this paper. Using Chelyshkov polynomials, we construct the associated Chelyshkov operator matrix to solve this diffusion model. An error estimation is obtained for validation of our method. Numerical examples indicate that the proposed method is easy to apply and produce accurate results. It is imperative to mention that the fractal-fractional reaction diffusion model and the proposed numerical method offer an efficient approach to handle the issues related to the diffusion phenomenon.

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.