Pattern evolution of coupled reaction–diffusion models arises in chemical systems using modified trigonometric cubic B-spline functions

IF 2 3区化学 Q3 CHEMISTRY, MULTIDISCIPLINARY

Journal of Mathematical Chemistry Pub Date : 2025-05-28 DOI:10.1007/s10910-025-01736-7

Jitender Kumar, Vikas Kumar, Sapna Pandit, Sardor Dadabaev Usmanovich, Norqulova Ziyoda Nabi Qizi

引用次数: 0

Abstract

This approach captures the different patterns of coupled nonlinear reaction–diffusion (RD) models which arises in chemical systems of biology and chemistry. To accomplish this task, a new algorithm based on modified trigonometric cubic B-spline functions is developed. Also, the computational complexity of the algorithm is discussed. From numerical experiments point of view, a test problem for accuracy, 1D and 2D Brusselator models and Grey-Scott model are considered.

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利用修正三角三次b样条函数研究化学系统中耦合反应扩散模型的模式演化

这种方法捕获了在生物和化学的化学系统中出现的耦合非线性反应扩散（RD）模型的不同模式。为此，提出了一种基于修正三角三次b样条函数的算法。同时，讨论了该算法的计算复杂度。从数值实验的角度，考虑了精度、一维和二维Brusselator模型和Grey-Scott模型的检验问题。

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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来源期刊

Journal of Mathematical Chemistry 化学-化学综合

CiteScore

3.70

自引率

17.60%

发文量

105

审稿时长

6 months

期刊介绍： The Journal of Mathematical Chemistry (JOMC) publishes original, chemically important mathematical results which use non-routine mathematical methodologies often unfamiliar to the usual audience of mainstream experimental and theoretical chemistry journals. Furthermore JOMC publishes papers on novel applications of more familiar mathematical techniques and analyses of chemical problems which indicate the need for new mathematical approaches. Mathematical chemistry is a truly interdisciplinary subject, a field of rapidly growing importance. As chemistry becomes more and more amenable to mathematically rigorous study, it is likely that chemistry will also become an alert and demanding consumer of new mathematical results. The level of complexity of chemical problems is often very high, and modeling molecular behaviour and chemical reactions does require new mathematical approaches. Chemistry is witnessing an important shift in emphasis: simplistic models are no longer satisfactory, and more detailed mathematical understanding of complex chemical properties and phenomena are required. From theoretical chemistry and quantum chemistry to applied fields such as molecular modeling, drug design, molecular engineering, and the development of supramolecular structures, mathematical chemistry is an important discipline providing both explanations and predictions. JOMC has an important role in advancing chemistry to an era of detailed understanding of molecules and reactions.