用自然变换求解油类污染中分数扩散方程的一种有效方法

3区物理与天体物理 Q1 Engineering

Waves in Random and Complex Media Pub Date : 2023-10-27 DOI:10.1080/17455030.2023.2273323

Lalit Mohan, Amit Prakash

{"title":"用自然变换求解油类污染中分数扩散方程的一种有效方法","authors":"Lalit Mohan, Amit Prakash","doi":"10.1080/17455030.2023.2273323","DOIUrl":null,"url":null,"abstract":"AbstractIn this paper, we consider the time-fractional non-linear diffusion equations for describing the pollution caused by oil in the water. The hybrid computational technique, the Natural Transform Homotopy Perturbation Technique is applied to get a numerical solution to the time-fractional non-linear diffusion equation. The existence and uniqueness are analyzed with the help of the fixed point theorem, also the stability analysis is discussed by using the Lyapunov function.KEYWORDS: Fractional diffusion equationCaputo derivativeLyapunov functionnatural transformhomotopy perturbation transform techniquefixed point theorem Disclosure statementNo potential conflict of interest was reported by the author(s).","PeriodicalId":23598,"journal":{"name":"Waves in Random and Complex Media","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An efficient technique for solving fractional diffusion equations arising in oil pollution via natural transform\",\"authors\":\"Lalit Mohan, Amit Prakash\",\"doi\":\"10.1080/17455030.2023.2273323\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"AbstractIn this paper, we consider the time-fractional non-linear diffusion equations for describing the pollution caused by oil in the water. The hybrid computational technique, the Natural Transform Homotopy Perturbation Technique is applied to get a numerical solution to the time-fractional non-linear diffusion equation. The existence and uniqueness are analyzed with the help of the fixed point theorem, also the stability analysis is discussed by using the Lyapunov function.KEYWORDS: Fractional diffusion equationCaputo derivativeLyapunov functionnatural transformhomotopy perturbation transform techniquefixed point theorem Disclosure statementNo potential conflict of interest was reported by the author(s).\",\"PeriodicalId\":23598,\"journal\":{\"name\":\"Waves in Random and Complex Media\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Waves in Random and Complex Media\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/17455030.2023.2273323\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Waves in Random and Complex Media","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/17455030.2023.2273323","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Engineering","Score":null,"Total":0}

引用次数: 0

摘要

摘要本文考虑用时间分数型非线性扩散方程来描述水中油类污染。采用混合计算技术，即自然变换同伦摄动技术，对时间分数阶非线性扩散方程进行了数值求解。利用不动点定理对其存在唯一性进行了分析，并利用Lyapunov函数对其稳定性进行了分析。关键词:分数扩散方程caputo导数yapunov函数自然变换同伦摄动变换技术不动点定理披露声明作者未报道潜在利益冲突。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

An efficient technique for solving fractional diffusion equations arising in oil pollution via natural transform

AbstractIn this paper, we consider the time-fractional non-linear diffusion equations for describing the pollution caused by oil in the water. The hybrid computational technique, the Natural Transform Homotopy Perturbation Technique is applied to get a numerical solution to the time-fractional non-linear diffusion equation. The existence and uniqueness are analyzed with the help of the fixed point theorem, also the stability analysis is discussed by using the Lyapunov function.KEYWORDS: Fractional diffusion equationCaputo derivativeLyapunov functionnatural transformhomotopy perturbation transform techniquefixed point theorem Disclosure statementNo potential conflict of interest was reported by the author(s).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Waves in Random and Complex Media 物理-物理：综合

自引率

0.00%

发文量

677

审稿时长

3.0 months

期刊介绍： Waves in Random and Complex Media (formerly Waves in Random Media ) is a broad, interdisciplinary journal that reports theoretical, applied and experimental research related to any wave phenomena. The field of wave phenomena is all-pervading, fast-moving and exciting; more and more, researchers are looking for a journal which addresses the understanding of wave-matter interactions in increasingly complex natural and engineered media. With its foundations in the scattering and propagation community, Waves in Random and Complex Media is becoming a key forum for research in both established fields such as imaging through turbulence, as well as emerging fields such as metamaterials. The Journal is of interest to scientists and engineers working in the field of wave propagation, scattering and imaging in random or complex media. Papers on theoretical developments, experimental results and analytical/numerical studies are considered for publication, as are deterministic problems when also linked to random or complex media. Papers are expected to report original work, and must be comprehensible and of general interest to the broad community working with wave phenomena.