用泰勒级数法分析HIV-1数学模型

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.2298/tsci23s1423a

Naveed Ahmad, Z. Khan, M. Akbar, Areej A. Al-moneef

{"title":"用泰勒级数法分析HIV-1数学模型","authors":"Naveed Ahmad, Z. Khan, M. Akbar, Areej A. Al-moneef","doi":"10.2298/tsci23s1423a","DOIUrl":null,"url":null,"abstract":"The main objective of this study is the use of Taylor?s series method for approximate solution of HIV-1 infection model. This method explores to solve a system of ODE expressed as an infinite series. These series components are easily determined. The presented method?s effectiveness and reliability are shown using a numerical example, and the consequences are evaluated to those acquired from different techniques in the research using tables and graphs. The proposed method has no assumptions about small or large parameters, and the technique?s accuracy increases when the order of approximation is increased. The results reveal that the approximate solution obtained through the use of Taylor's series method is more reliable and accurate.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of HIV-1 mathematical model using Taylor’s series method\",\"authors\":\"Naveed Ahmad, Z. Khan, M. Akbar, Areej A. Al-moneef\",\"doi\":\"10.2298/tsci23s1423a\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main objective of this study is the use of Taylor?s series method for approximate solution of HIV-1 infection model. This method explores to solve a system of ODE expressed as an infinite series. These series components are easily determined. The presented method?s effectiveness and reliability are shown using a numerical example, and the consequences are evaluated to those acquired from different techniques in the research using tables and graphs. The proposed method has no assumptions about small or large parameters, and the technique?s accuracy increases when the order of approximation is increased. The results reveal that the approximate solution obtained through the use of Taylor's series method is more reliable and accurate.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.2298/tsci23s1423a\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.2298/tsci23s1423a","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

本研究的主要目的是使用Taylor?HIV-1感染模型近似解的s系列方法。这种方法探讨了用无穷级数表示的ODE系统的解。这些系列元件很容易确定。提出的方法?通过数值算例说明了该方法的有效性和可靠性，并通过表格和图表对研究中采用不同技术获得的结果进行了评价。所提出的方法没有对小参数或大参数的假设，并且该技术?S精度随着近似阶数的增加而增加。结果表明，采用泰勒级数法得到的近似解更加可靠和准确。

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

Analysis of HIV-1 mathematical model using Taylor’s series method

The main objective of this study is the use of Taylor?s series method for approximate solution of HIV-1 infection model. This method explores to solve a system of ODE expressed as an infinite series. These series components are easily determined. The presented method?s effectiveness and reliability are shown using a numerical example, and the consequences are evaluated to those acquired from different techniques in the research using tables and graphs. The proposed method has no assumptions about small or large parameters, and the technique?s accuracy increases when the order of approximation is increased. The results reveal that the approximate solution obtained through the use of Taylor's series method is more reliable and accurate.

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

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.