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

IF 1.1 4区工程技术 Q4 THERMODYNAMICS

Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci23s1423a

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

引用次数: 0

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.

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用泰勒级数法分析HIV-1数学模型

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。

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来源期刊

Thermal Science 工程技术-热力学

CiteScore

2.70

自引率

29.40%

发文量

399

审稿时长

5 months

期刊介绍： The main aims of Thermal Science to publish papers giving results of the fundamental and applied research in different, but closely connected fields: fluid mechanics (mainly turbulent flows), heat transfer, mass transfer, combustion and chemical processes in single, and specifically in multi-phase and multi-component flows in high-temperature chemically reacting flows processes present in thermal engineering, energy generating or consuming equipment, process and chemical engineering equipment and devices, ecological engineering, The important characteristic of the journal is the orientation to the fundamental results of the investigations of different physical and chemical processes, always jointly present in real conditions, and their mutual influence. To publish papers written by experts from different fields: mechanical engineering, chemical engineering, fluid dynamics, thermodynamics and related fields. To inform international scientific community about the recent, and most prominent fundamental results achieved in the South-East European region, and particularly in Serbia, and - vice versa - to inform the scientific community from South-East European Region about recent fundamental and applied scientific achievements in developed countries, serving as a basis for technology development. To achieve international standards of the published papers, by the engagement of experts from different countries in the International Advisory board.