利用一种富有想象力的方法来研究基于莫汉德 HPA 的分式纽厄尔-怀特海-西格尔方程

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Sajad Iqbal, Jun Wang
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引用次数: 0

摘要

本研究采用了一种新技术来解决二维系统中常见的条纹图案形成问题,即时间分数 Newell-Whitehead-Segel 问题。研究介绍了莫罕德变换及其符合意义上的特性。提出的解决方案包括利用同调扰动方法(HPA)和保形莫汉德变换(CMT)来解决时间分数纽厄尔-怀特海-西格尔问题的四个案例研究。建议方法产生的图形结果与精确解相似。通过图表展示精确的分析数据,证明了所建议技术的有效性。此外,还比较了对不同的 \(α \) 值使用所建议技术的结果,结果表明,随着该值从分数阶变为整数阶,答案与精确解越来越相似。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Utilizing an imaginative approach to examine a fractional Newell–Whitehead–Segel equation based on the Mohand HPA

Utilizing an imaginative approach to examine a fractional Newell–Whitehead–Segel equation based on the Mohand HPA

This study implemented a novel technique to address the common issue of stripe pattern formation in 2D systems known as the time-fractional Newell–Whitehead–Segel problem. The study presents the Mohand transforms and their properties in conformable sense. The proposed solution involved utilizing the homotopy perturbation approach (HPA) and conformable Mohand transform (CMT) to tackle four case studies of the time-fractional Newell–Whitehead–Segel problem. The graphical outcomes produced by the suggested approach resembled the exact solution. The effectiveness of the suggested techniques was demonstrated by presenting precise and analytical data through graphs. Additionally, the results of using the suggested technique for different values of \(\alpha \) were compared, showing that as the value moves from a fractional order to an integer order, the answer becomes more and more similar to the exact solution.

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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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