Bessel Polynomials: Application in Finding Optimal Solution of Fractional COVID-19 Model Using Lagrange Multipliers

IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-05-16 DOI:10.1007/s40995-024-01632-w
H. Saeidi, M. Sh. Dahaghin, S. Mehrabi, H. Hassani
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Abstract

After the outbreak of coronavirus disease, numerous models have been proposed for it. In this paper, a fractional mathematical model for COVID-19 is introduced. Applying generalized Bessel polynomials, each function in the model is approximated. For minimizing the norm-2 of residual functions, an optimization problem is obtained and this problem is solved using Lagrange multipliers. The numerical results shows that the proposed method has high accuracy and is suitable for solving nonlinear optimization problems and also can help specialists to cure and control Covid-19 disease.

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贝塞尔多项式:应用拉格朗日乘法器寻找分数 COVID-19 模型的最优解
冠状病毒病爆发后,人们提出了许多相关模型。本文介绍了 COVID-19 的分数数学模型。应用广义贝塞尔多项式对模型中的每个函数进行逼近。为了最小化残差函数的 norm-2,得到了一个优化问题,并使用拉格朗日乘法器解决了这个问题。数值结果表明,所提出的方法具有很高的精确度,适用于解决非线性优化问题,也能帮助专家治疗和控制 Covid-19 疾病。
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来源期刊
CiteScore
4.00
自引率
5.90%
发文量
122
审稿时长
>12 weeks
期刊介绍: The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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